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SUMMARY:Elli Pomoni (DESY)
DTSTART:20211014T144500Z
DTEND:20211014T163000Z
DTSTAMP:20260423T022718Z
UID:LIJC/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LIJC/49/">Dy
 namical spin chains in 4D N = 2 SCFTs</a>\nby Elli Pomoni (DESY) as part o
 f London Integrability Journal Club\n\n\nAbstract\nIn this talk we will re
 visit the study of spin chains capturing the spectral problem of 4d N = 2 
 SCFTs in the planar limit. At one loop and in the quantum plane limit\, we
  will discover a quasi-Hopf symmetry algebra\, defined by the R-matrix rea
 d off from the superpotential. This implies that when orbifolding the N = 
 4 symmetry algebra down to the N = 2 one and then marginaly deforming\, th
 e broken generators are not lost\, but get upgraded to quantum generators.
  We will also demonstrate that these chains are dynamical\, in the sense t
 hat their Hamiltonian depends on a parameter which is dynamically determin
 ed along the chain. At one loop we will show how to map the holomorphic SU
 (3) scalar sector to a dynamical 15-vertex model\, which corresponds to an
  RSOS model\, whose adjacency graph can be read off from the gauge theory 
 quiver/brane tiling. One scalar SU(2) sub-sector is described by an altern
 ating nearest-neighbour Hamiltonian\, while another choice of SU(2) sub-se
 ctor leads to a dynamical dilute Temperley-Lieb model. These sectors have 
 a common vacuum state\, around which the magnon dispersion relations are n
 aturally uniformised by elliptic functions. For the example of the ℤ_{2}
  quiver theory we study these dynamical chains by solving the one- and two
 -magnon problems with the coordinate Bethe ansatz approach.\n
LOCATION:https://researchseminars.org/talk/LIJC/49/
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