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BEGIN:VEVENT
SUMMARY:Edgar Shaghoulian
DTSTART:20201002T120000Z
DTEND:20201002T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/1
DESCRIPTION:Title: Looking for islands\nby Edgar Shaghoulian as part of Durham Mat
hs HEP seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Domenico Orlando (INFN Turin)
DTSTART:20201016T120000Z
DTEND:20201016T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/2
DESCRIPTION:Title: Introduction to the large charge expansion\nby Domenico Orlando
(INFN Turin) as part of Durham Maths HEP seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tommaso Macrelli (University of Surrey)
DTSTART:20201023T120000Z
DTEND:20201023T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/3
DESCRIPTION:Title: BV formalism\, QFT and Gravity: a Homotopy perspective\nby Tomm
aso Macrelli (University of Surrey) as part of Durham Maths HEP seminars\n
\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Akash Jain (University of Victoria)
DTSTART:20201030T130000Z
DTEND:20201030T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/4
DESCRIPTION:Title: Non-universality of hydrodynamics\nby Akash Jain (University of
Victoria) as part of Durham Maths HEP seminars\n\n\nAbstract\nThe late-ti
me long-distance behaviour of a many-body system is usually described by t
he framework of hydrodynamics or similar condensed matter models based on
the (possibly spontaneously broken) symmetries that the system enjoys. The
se models are characterised by a set of transport coefficients\, such as v
iscosities and conductivity\, that capture the transport properties of con
served charges over macroscopic scales. In this talk\, we will investigate
a new kind of transport coefficients that are not present in the usual fo
rmulation of hydrodynamics\, but nonetheless affect the late time dynamics
of conserved charges. Physically\, these new coefficients arise due to th
e interaction of the hydrodynamic degrees of freedom with the background b
ath of thermal noise present out of equilibrium. For the purposes of this
investigation\, I will spend some time to review the newly developed Schwi
nger-Keldysh effective action formulation of non-equilibrium field theorie
s\, which allows one to systematically keep track of thermal noise and the
ir correlations. The talk will be based on the recent preprint https://arx
iv.org/abs/2009.01356.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Ferrari (Durham University)
DTSTART:20201106T130000Z
DTEND:20201106T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/5
DESCRIPTION:Title: A pedestrian introduction to the geometry of 3d twisted indices
\nby Andrea Ferrari (Durham University) as part of Durham Maths HEP semina
rs\n\n\nAbstract\n3d $N=2$ gauge theories enjoy a twist that allows to stu
dy their partition functions on a circle times a closed Riemann surface. T
hese partition functions\, known as twisted indices\, were computed some t
ime ago using supersymmetric localisation on the Coulomb branch. More rece
ntly\, we interpreted the indices from the point of view of a supersymmetr
ic quantum mechanics\, unveiling interesting connections to geometry. Star
ting from simple quantum mechanical geometric models\, in this talk we wan
t to introduce this point of view and explain how the indices encode inter
esting geometric phenomena such as wall-crossing and\, in the case of $N=4
$ gauge theories\, symplectic duality of quasi-maps. The talk is based on
arxiv:1802.10120\, arxiv:1812.05567\, arxiv:1912.9591\, arxiv:2007.11603.\
n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Federico Carta (Durham University)
DTSTART:20201113T131500Z
DTEND:20201113T141500Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/6
DESCRIPTION:Title: Supersymmetry Enhancement\nby Federico Carta (Durham University
) as part of Durham Maths HEP seminars\n\n\nAbstract\nIn the last couple o
f years it was discovered that some 4d N=1 quantum field theories flow in
the IR to 4d N=2 superconformal field theories (often of generalized Argyr
es-Douglas type)\, therefore showing a phenomenon of Supersymmetry Enhance
ment at the IR fixed point. Such flows are extremely useful in order to le
arn features of the IR non-lagrangian theory\, by using the UV formulation
to compute RG flow protected quantities. However\, up to date it is not c
ompletely clear why such flows exist\, and how the SUSY Enhancement mechan
ism works in detail. Limiting ourself to one class of such flows\, usually
referred as Maruyoshi-Song flows\, we show how it is possible to understa
nd the enhancement phenomenon in a geometric way\, by realizing this setup
in F-Theory. We also discuss how to understand the enhancement as an hype
rkahler structure restoration on the moduli space of solutions of the (gen
eralized) Hitchin system associated to such theories. Finally\, we discuss
a very large systematic scan that we performed in order to find more exam
ple of such flows. Having found none\, we conjecture that this particular
method is exhausted: all the N=1 lagrangian theories flowing to Argyres-Do
uglas theory by Maruyoshi-Song RG-flows have been already discovered\, and
there exist no more.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuya Tanizaki (Kyoto University)
DTSTART:20201120T130000Z
DTEND:20201120T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/7
DESCRIPTION:Title: Topological aspects of oblique confinement in the Cardy-Rabinovici
model\nby Yuya Tanizaki (Kyoto University) as part of Durham Maths HEP
seminars\n\n\nAbstract\nConfinement is one of the most important but basi
c features of non-Abelian gauge theories\, and an intuitive and interestin
g scenario of its dynamics is condensation of magnetic monopoles. When we
add the topological theta term to it\, more exotic condensations may appea
r\, which are called oblique confinement phases. In a 4d lattice model pro
posed by Cardy and Rabinovici\, such interesting phases can be explicitly
realized. In this talk\, I will uncover its topological nature based on th
e recent applications of 't Hooft anomaly matching. Moreover\, it has been
known that the local dynamics of Cardy-Rabinovici model shows the SL(2\,Z
) self-duality\, but it turns out that the self-duality does not extend to
the global aspect of the original theory. We cooked up a SL(2\,Z) self-du
al theory by gauging a part of the 1-form symmetry of the Cardy-Rabinovici
model\, and the self-duality has a mixed gravitational anomaly. These dat
a give useful constraints to discuss the phase diagram.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastian Mizera (IAS)
DTSTART:20201127T130000Z
DTEND:20201127T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/8
DESCRIPTION:Title: Feynman Integrals and Intersection Theory\nby Sebastian Mizera
(IAS) as part of Durham Maths HEP seminars\n\n\nAbstract\nSingularity stru
cture of scattering amplitudes is as intricate as it is inscrutable. Work
in this area over the recent years has been hinting at an existence of a
“scalar product” between Feynman integrals\, which would tell us how t
o characterize their analytic behavior. In this talk I will explain how to
formulate this notion using the tools of intersection theory as well as r
eview its theoretical and practical applications.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pietro Benetti Genolini (Cambridge University)
DTSTART:20201204T130000Z
DTEND:20201204T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/9
DESCRIPTION:Title: Instantons\, symmetries and anomalies in five dimensions\nby Pi
etro Benetti Genolini (Cambridge University) as part of Durham Maths HEP s
eminars\n\n\nAbstract\nFive-dimensional non-abelian gauge theories have a
U(1) global symmetry associated with instantonic particles. I will describ
e a mixed ’t Hooft anomaly between this and other global symmetries of t
he theory\, namely the one-form center symmetry or ordinary flavor symmetr
y for theories with fundamental matter. I will explore some general dynami
cal properties of the candidate phases implied by the anomaly\, and apply
our results to supersymmetric gauge theories in five dimensions\, analysin
g the symmetry enhancement patterns occurring at their conjectured RG fixe
d points.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Mertens (Ghent University)
DTSTART:20201211T130000Z
DTEND:20201211T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/10
DESCRIPTION:Title: Liouville and JT quantum gravity - holography and matrix models\nby Thomas Mertens (Ghent University) as part of Durham Maths HEP semina
rs\n\n\nAbstract\nIn this talk\, we will discuss recent progress in unders
tanding quantum gravity amplitudes (partition function and boundary correl
ation functions) in Liouville gravity\, and how they limit to Jackiw-Teite
lboim (JT) correlators. We also discuss multiboundary and higher genus amp
litudes. We focus on two main results: the Liouville gravity answers look
like q-deformations of the JT answers\, and Liouville gravity can be relat
ed to a 2d dilaton gravity with a sinh dilaton potential. We end with disc
ussions on supersymmetric extensions and work in progress. Based largely o
n arXiv:2006.07072 and 2007.00998.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guido Festuccia (Uppsala University)
DTSTART:20210122T130000Z
DTEND:20210122T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/11
DESCRIPTION:Title: Twisting with a flip\nby Guido Festuccia (Uppsala University)
as part of Durham Maths HEP seminars\n\n\nAbstract\nI will consider N=2 su
persymmetric gauge theories on 4D compact manifolds with a Killing vector
field with isolated fixed points.\nStudying the realization of supersymmet
ry in these theories leads to consider a generalization of the notion of s
elf-duality on manifolds with a vector field. This allows to construct a f
ramework unifying equivariant Donaldson-Witten theory and Pestun's theory
on S4 and its generalizations. I will also discuss the action of S-duality
in these theories.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabian Ruehle (CERN)
DTSTART:20210129T130000Z
DTEND:20210129T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/12
DESCRIPTION:Title: Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machi
ne Learning\nby Fabian Ruehle (CERN) as part of Durham Maths HEP semin
ars\n\n\nAbstract\nCalabi-Yau manifolds play a crucial role in string comp
actifications. Yau's theorem guarantees the existence of a metric that sat
isfies the string's equation of motion. However\, Yau's proof is non-const
ructive\, and no analytic expressions for metrics on Calabi-Yau threefolds
are known. We use machine learning\, more precisely neural networks\, to
learn Calabi-Yau metrics and their complex structure moduli dependence.\nI
will start with an introduction to Calabi-Yau manifolds and their moduli.
After that\, I will give a brief introduction to neural networks. Using a
n example\, I will then illustrate how we train neural networks to find Ca
labi-Yau metrics by solving the underlying partial differential equations.
The approach generalizes to more general manifolds and can hence also be
used for manifolds with reduced structure\, such as SU(3) structure or G2
manifolds\, which feature in string compactifications with flux and in the
M-theory formulation of string theory\, respectively. I will illustrate t
his generalization for a particular SU(3) structure metric and compare the
machine learning result to the known\, analytic expression.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agnese Bissi (Uppsala University)
DTSTART:20210212T130000Z
DTEND:20210212T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/13
DESCRIPTION:Title: Towards all loop supergravity amplitudes\nby Agnese Bissi (Upp
sala University) as part of Durham Maths HEP seminars\n\n\nAbstract\nIn th
is talk I will discuss how to extract the most trascendental piece of the
four graviton amplitude in type IIB supergravity on AdS_5×S^5 at any loop
order\, from the dual four point function in N=4 Super Yang Mills. I will
describe how to construct this part of the correlator/amplitude and its s
ignificance. I will conclude with some open problems and future directions
.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joe Davighi (Cambridge University)
DTSTART:20210205T130000Z
DTEND:20210205T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/14
DESCRIPTION:Title: Anomaly interplay in even dimensions\nby Joe Davighi (Cambridg
e University) as part of Durham Maths HEP seminars\n\n\nAbstract\nIn any d
imension\, a global anomaly in a symmetry G is detected by evaluating the
eta-invariant on a manifold with G-bundle in one higher dimension. This ma
nifold must be in a non-trivial bordism class (for there to be a global an
omaly)\, making the evaluation of eta difficult in general. We discuss a s
trategy for evaluating many global anomalies in even dimensions\, whereby
G is embedded in some larger group K for which the bordism group vanishes.
This allows one to extend the manifold with K-bundle as the boundary of a
manifold in one dimension higher still\, and thence to evaluate eta from
a local anomaly polynomial using the APS index theorem. We discuss physics
examples of this anomaly interplay in 2\, 4\, and 6 dimensions. In 4d\, w
e compute the global SU(2) anomaly from a local anomaly in U(2).\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diego Hofman (University of Amsterdam)
DTSTART:20210219T130000Z
DTEND:20210219T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/15
DESCRIPTION:Title: On the Stress Tensor Light-ray Operator Algebra\nby Diego Hofm
an (University of Amsterdam) as part of Durham Maths HEP seminars\n\n\nAbs
tract\nI will discuss correlation functions involving generalized ANEC ope
rators in four dimensions. In particular\, I’ll present computations of
two\, three\, and four-point functions involving external scalar states in
both free and holographic Conformal Field Theories. From this information
\, I will comment on the algebra of these light-ray operators. Curiously\,
a global subalgebra exists which annihilates the conformally invariant va
cuum and is acted upon by the collinear conformal group that preserves the
light-ray. Outside this set I’ll comment on the appearance of an infini
te central term\, in agreement with previous suggestions in the literature
. In free theories\, even some of the operators inside the global subalgeb
ra fail to commute when placed at spacelike separation on the same null-pl
ane. This lack of commutativity is not integrable\, presenting an obstruct
ion to the construction of a well defined light-ray algebra at coincident
coordinates. For holographic CFTs the behavior worsens and all generalized
operators (except for the ANEC) fail to commute at spacelike separation.
I will then discuss this same result from the bulk of AdS where new exact
shockwave solutions dual to the insertions of these (exponentiated) operat
ors can be used to perform the computation.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elli Pomoni (DESY)
DTSTART:20210226T130000Z
DTEND:20210226T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/16
DESCRIPTION:Title: Type-B Anomalies on the Higgs Branch\nby Elli Pomoni (DESY) as
part of Durham Maths HEP seminars\n\n\nAbstract\nIn this talk we will stu
dy type-B conformal anomalies associated with 1/2-BPS Coulomb-branch opera
tors in 4D N=2 SCFTs. We will derive the conditions under which these anom
alies can match across the conformal phase and the Higgs phase\, and expli
citly see them at work in concrete examples of both matching and non-match
ing. On the one hand matching leads to a new class of data on the Higgs br
anch of 4D N=2 SCFTs that are exactly computable. On the other\, non-match
ing imposes novel restrictions on the holonomy of the conformal manifold.\
n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Radu Tatar (Liverpool University)
DTSTART:20210305T130000Z
DTEND:20210305T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/17
DESCRIPTION:Title: de Sitter in the String Landscape\nby Radu Tatar (Liverpool U
niversity) as part of Durham Maths HEP seminars\n\n\nAbstract\nI argue tha
t four-dimensional effective field theory descriptions with de Sitter isom
etries could be allowed in the presence of time-dependent internal degrees
of freedom in type IIB string landscape. Moduli stabilization and time-in
dependent Newton constants are possible in such backgrounds. However once
the time-dependences are switched off\, there appear no possibilities of e
ffective field theory descriptions.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob McNamara (Harvard University)
DTSTART:20210312T130000Z
DTEND:20210312T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/18
DESCRIPTION:Title: Gravitational Solitons and Abelianization\nby Jacob McNamara (
Harvard University) as part of Durham Maths HEP seminars\n\n\nAbstract\nGr
avitational solitons are localized fluctuations of the topology of spaceti
me\, and behave as dynamical particles or branes in theories of quantum gr
avity. We study the possible charges of gravitational solitons under dynam
ical gauge fields\, with an eye towards the completeness hypothesis: that
in a UV complete theory of quantum gravity\, there must exist states of ev
ery possible gauge charge. Remarkably\, we find that gravitational soliton
s carry charges beyond those present in the pure gauge theory. We interpre
t the role played by gravitational solitons as one of "abelianization\," n
amely to remove any non-abelian complications from the completeness hypoth
esis.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Evgeny Skvortsov (UMONS and Lebedev Institute)
DTSTART:20210423T120000Z
DTEND:20210423T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/19
DESCRIPTION:Title: Quantum Higher Spin Gravity and three-dimensional bosonization dua
lity\nby Evgeny Skvortsov (UMONS and Lebedev Institute) as part of Dur
ham Maths HEP seminars\n\n\nAbstract\nHigher Spin Gravities are supposed t
o be minimalistic extensions of gravity that embed it into a quantum consi
stent theory. However\, such minimality turns out to be in tension with th
e field theory approach\, as well as with the numerous no-go theorems. We
report on the recent progress in constructing Higher Spin Gravities and te
sting quantum effects therein. AdS/CFT relates Higher Spin Gravities to a
variety of interesting three-dimensional CFT's\, e.g. to the Ising model.
These CFT's were conjectured to exhibit a number of remarkable dualities\,
in particular\, the three-dimensional bosonization duality. We show how H
igher Spin Gravity can be useful to prove the bosonization duality at leas
t in the large N limit and make new predictions for the correlation functi
ons.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jaewon Song (KAIST)
DTSTART:20210319T130000Z
DTEND:20210319T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/20
DESCRIPTION:Title: Classification of large N superconformal gauge theories\nby Ja
ewon Song (KAIST) as part of Durham Maths HEP seminars\n\n\nAbstract\nWe c
lassify the large N limits of four-dimensional supersymmetric gauge theori
es with simple gauge groups that flow to superconformal fixed points. We r
estrict ourselves to the ones without a superpotential and with a fixed fl
avor symmetry. We find 35 classes in total\, with 8 having a dense spectru
m of chiral gauge-invariant operators. The central charges a and c for the
dense theories grow linearly in N in contrast to the N^2 growth for the t
heories with a sparse spectrum. We find that there can be multiple bands s
eparated by a gap\, or a discrete spectrum above the band. For all the the
ories with the dense spectrum\, the AdS version of the Weak Gravity Conjec
ture holds for large enough N even though they do not have weakly-coupled
gravity duals.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcus Berg (Karlstad University)
DTSTART:20210507T120000Z
DTEND:20210507T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/21
DESCRIPTION:Title: Plane gravitational waves and automorphic forms\nby Marcus Ber
g (Karlstad University) as part of Durham Maths HEP seminars\n\n\nAbstract
\nThe plane gravitational wave is a Penrose limit of AdS that is dual to t
he gauge theory BMN limit. The string partition function in this backgroun
d provides a natural one-parameter deformation of Kronecker-Eisenstein ser
ies\, and more generally of Jacobi-Maass forms. This talk is based on arXi
v:1910.02745 and some work in progress.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivano Basile (Mons University)
DTSTART:20211015T120000Z
DTEND:20211015T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/22
DESCRIPTION:Title: Broken spacetime from broken supersymmetry\nby Ivano Basile (M
ons University) as part of Durham Maths HEP seminars\n\n\nAbstract\nWe exp
lore the dramatic consequences of string-scale supersymmetry breaking. We
focus on the USp(32) and U(32) orientifolds of the type IIB and type 0B st
rings\, as well as the SO(16) x SO(16) projection of the exceptional heter
otic string\, which provide non-tachyonic settings with no moduli directly
in ten dimensions. While deceptively innocuous at the level of worldsheet
perturbation theory\, dynamical gravitational tadpoles backreact on space
time in a dramatic fashion. We discuss how branes can tame this effect to
a certain extent\, finding that spacetime universally breaks down at a fin
ite distance\, ending in a strongly coupled\, highly curved singularity. R
emarkably\, the dynamics of branes in these settings remains consistent am
ong different complementary regimes despite the absence of supersymmetric
protection. We connect the resulting picture with a number of swampland cr
iteria\, including the weak gravity\, de Sitter and distance conjectures\,
which are realized via novel mechanisms.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Riccardo Borsato (Universidade de Santiago de Compostela)
DTSTART:20211022T120000Z
DTEND:20211022T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/23
DESCRIPTION:Title: A classification of solution-generating techniques in supergravity
and of canonical transformations of sigma-models\nby Riccardo Borsato
(Universidade de Santiago de Compostela) as part of Durham Maths HEP semi
nars\n\n\nAbstract\nI will consider a two-fold problem: on the one hand\,
the classification of a family of solution-generating techniques in superg
ravity and\, on the other hand\, the classification of a family of canonic
al transformations of 2-dimensional sigma-models (giving rise to integrabl
e-preserving transformations). In fact\, under certain assumptions that I
will explain\, the two problems admit essentially the same algebraic formu
lation\, emerging from an underlying double Lie algebra. I will review the
construction and the classification in terms of Lie algebra cohomologies.
Based on 2102.04498 and 2109.06185.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Buican (Queen Mary University)
DTSTART:20211029T120000Z
DTEND:20211029T130000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/24
DESCRIPTION:Title: Some Galois Actions in Topological Quantum Field Theory\nby Ma
tthew Buican (Queen Mary University) as part of Durham Maths HEP seminars\
n\n\nAbstract\nGalois theory features prominently in many areas of modern
mathematics. Although somewhat less appreciated\, interesting (and useful)
Galois groups sometimes lurk beneath the surface in physics as well. One
particularly fruitful area for studying physical Galois actions is in the
context of TQFT and topological phases of matter. With this in mind\, we w
ill discuss some applications of Galois theory to the study of the symmetr
ies and structures present in 2+1 dimensional TQFT.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Philip Saad (IAS)
DTSTART:20211105T130000Z
DTEND:20211105T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/25
DESCRIPTION:Title: Comments on wormholes and factorization\nby Philip Saad (IAS)
as part of Durham Maths HEP seminars\n\n\nAbstract\nIn conventional AdS/CF
T partition functions of decoupled copies of the CFT factorize. In bulk co
mputations of such quantities contributions from spacetime wormholes which
link separate asymptotic boundaries threaten to spoil this property\, lea
ding to a “factorization puzzle.” Certain simple models like JT gravit
y and the SYK model have wormholes\, but bulk computations in them corresp
ond to averages over an ensemble of boundary systems. These averages need
not factorize. We can formulate a toy version of the factorization puzzle
in such models by focusing on a specific member of the ensemble where part
ition functions will again factorize. In this talk we discuss bulk computa
tions of partition functions for (sometimes approximately) fixed members o
f the ensemble in three simple models: the topological model introduced by
Marolf and Maxfield (the “MM model”)\, JT gravity\, and the SYK model
\, and give an effective description of the factorization mechanism.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Elliott (UMass Amherst)
DTSTART:20211112T130000Z
DTEND:20211112T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/26
DESCRIPTION:Title: Framing Anomalies for Topological AKSZ Theories\nby Chris Elli
ott (UMass Amherst) as part of Durham Maths HEP seminars\n\n\nAbstract\nI'
ll discuss an approach to the computation of framing anomalies using the B
V formalism. This method can be applied to a general class of topological
field theories that encompasses many topological twists of supersymmetric
gauge theories\, such as those 4d theories studied by Kapustin and Witten
in their work on the geometric Langlands correspondence. This talk is base
d on joint work with Owen Gwilliam and Brian Williams.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jackson Fliss (University of Amsterdam)
DTSTART:20211119T130000Z
DTEND:20211119T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/27
DESCRIPTION:Title: A carpenter’s guide to smeared inequalities\nby Jackson Flis
s (University of Amsterdam) as part of Durham Maths HEP seminars\n\n\nAbst
ract\nClassifying possible spacetime geometries is contingent on constrain
ing physically realizable stress-tensors\, objects famously described by E
instein as the “low grade wood” side of his field equation. The situat
ion is made even more precarious in quantum field theory where local energ
y inequalities are violated. Working on this side of the field equation\,
I will review some recent work constraining null-energy smeared over space
time regions directly in quantum field theory. I will review and offer a f
ield theoretic proof of the Smeared Null Energy Condition (a proposed gene
ralization of the Null Energy Condition) and discuss recent work on a Doub
le Smeared Null Energy Condition lower-bounding the null-energy smeared ov
er a particular spacetime region. Along the way\, I will detail general ma
chinery for bounding below quantum operators that are classically positive
\, at least within a certain class of theories.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lorenzo di Pietro (University of Trieste)
DTSTART:20211126T130000Z
DTEND:20211126T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/28
DESCRIPTION:Title: Conformal boundary conditions for free fields\nby Lorenzo di P
ietro (University of Trieste) as part of Durham Maths HEP seminars\n\n\nAb
stract\nI will discuss the problem of classifying (interacting) conformal
boundary conditions for the simplest bulk conformal field theories: free f
ields. I will mention concrete examples based on perturbation theory\, and
then describe results using the numerical conformal bootstrap approach\,
specifically in the case of a scalar field in four and three bulk dimensio
ns.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miranda Cheng (University of Amsterdam)
DTSTART:20211210T130000Z
DTEND:20211210T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/29
DESCRIPTION:Title: Machine learning and theoretical physics: some applications\nb
y Miranda Cheng (University of Amsterdam) as part of Durham Maths HEP semi
nars\n\n\nAbstract\nIn this talk I will briefly summarise some recent work
on the interactions between physics and machine learning. In a recent pap
er (2110.02673) with de Haan\, Rainone\, and Bondesan\, we use a continuo
us flow model to help ameliorate the numerical difficulties in sampling in
lattice field theories\, which for instance hampers high-precision comput
ations in LQCD. If time permits\, I will also talk about a second paper wi
th V Anagiannis (2103.11785)\, in which we exploit the analogy between qua
ntum many-body systems and certain neural networks to analyse the learning
process using quantum entanglement.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Costis Papageorgakis (Queen Mary University)
DTSTART:20220121T130000Z
DTEND:20220121T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/30
DESCRIPTION:Title: Towards Solving CFTs with Artificial Intelligence\nby Costis P
apageorgakis (Queen Mary University) as part of Durham Maths HEP seminars\
n\n\nAbstract\nI will introduce a novel numerical approach for solving the
conformal-bootstrap equations with Reinforcement Learning. I will apply t
his to the case of two-dimensional CFTs\, successfully identifying well-kn
own theories like the 2D Ising model and the 2D CFT of a compact scalar\,
but the method can be used to study arbitrary (unitary or non-unitary) CFT
s in any spacetime dimension.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Javier Magán (University of Pennsylvania)
DTSTART:20220128T130000Z
DTEND:20220128T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/31
DESCRIPTION:Title: Generalized Symmetries of the Graviton\nby Javier Magán (Univ
ersity of Pennsylvania) as part of Durham Maths HEP seminars\n\n\nAbstract
\nIn this talk we discuss the set of generalized symmetries associated wit
h the free graviton theory in four dimensions. These are generated by ring
-like operators. As for the Maxwell field\, we find a set of “electric
” and a dual set of “magnetic” topological operators and compute the
ir algebra. The associated electric and magnetic fields satisfy a set of c
onstraints equivalent to the ones of a stress tensor of a 3d CFT. This imp
lies that the generalized symmetry is charged under space-time symmetries\
, and it provides a bridge between linearized gravity and the tensor gauge
theories that have been introduced recently in the context of fractonic s
ystems in condensed matter physics.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Belin (CERN)
DTSTART:20220204T130000Z
DTEND:20220204T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/32
DESCRIPTION:Title: Quantum chaos\, OPE coefficients and wormholes\nby Alex Belin
(CERN) as part of Durham Maths HEP seminars\n\n\nAbstract\nIn this talk\,
I will discuss the statistical distribution of OPE coefficients in chaotic
conformal field theories. I will present the OPE Randomness Hypothesis (O
RH)\, a generalization of ETH to CFTs which treats any OPE coefficient inv
olving a heavy operator as a pseudo-random variable with an approximate Ga
ussian distribution. I will then present some evidence for this conjecture
\, based on the size of the non-Gaussianities and on insights from random
matrix theory. Turning to the bulk\, I will argue that semi-classical grav
ity geometrizes these statistical correlations by wormhole geometries. I w
ill show that the non-Gaussianities of the OPE coefficients predict a new
connected wormhole geometry that dominates over the genus-2 wormhole.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dalimil Mazáč (IAS)
DTSTART:20220211T130000Z
DTEND:20220211T140000Z
DTSTAMP:20260422T225826Z
UID:DurhamMathsHEP/33
DESCRIPTION:Title: Automorphic Spectra and the Conformal Bootstrap\nby Dalimil Ma
záč (IAS) as part of Durham Maths HEP seminars\n\n\nAbstract\nI will e
xplain that the spectral geometry of hyperbolic manifolds provides a remar
kably faithful model of the modern conformal bootstrap. In particular\, to
each hyperbolic D-manifold\, one can associate a Hilbert space of local o
perators\, which is a unitary representation of a conformal group. The loc
al operators live in an emergent (D-1)-dimensional spacetime. The scaling
dimensions of the operators are related to the eigenvalues of the Laplacia
n on the manifold. The operators satisfy an operator product expansion. Fi
nally\, one can define their correlation functions and derive bootstrap eq
uations constraining the spectrum. As an application\, I will use conforma
l bootstrap techniques to derive upper bounds on the lowest positive eigen
value of the Laplacian on closed hyperbolic surfaces and 2-orbifolds. In a
number of notable cases\, the bounds are nearly saturated by known surfac
es and orbifolds. For instance\, the bound on all genus-2 surfaces is λ1
≤3.8388976481\, while the Bolza surface has λ1≈3.838887258. The talk
will be based on https://arxiv.org/abs/2111.12716\, which is joint work wi
th P. Kravchuk and S. Pal.\n
LOCATION:https://researchseminars.org/talk/DurhamMathsHEP/33/
END:VEVENT
END:VCALENDAR