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SUMMARY:Joe Huxford (Oxford University)
DTSTART:20200520T100000Z
DTEND:20200520T110000Z
DTSTAMP:20260423T035827Z
UID:QM3/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/2/">Topo
 logical phases in 3+1D: the higher lattice gauge theory model and its exci
 tations</a>\nby Joe Huxford (Oxford University) as part of Quantum Matter 
 meets Maths (IST\, Lisbon)\n\n\nAbstract\nTopological phases in 3+1D are l
 ess well understood than\ntheir lower dimensional counterparts. A useful a
 pproach to the study\nof such phases is to look at toy models that we can 
 solve exactly. In\nthis talk I will present new results for an existing mo
 del for certain\ntopological phases in 3+1D (the model was first presented
  in [1]).\nThis model is based on a generalisation of lattice gauge theory
  known\nas higher lattice gauge theory\, which treats parallel transport o
 f\nlines as well as points. I will first provide a brief introduction to\n
 higher lattice gauge theory and the Hamiltonian model constructed from\nit
 . Then we will look at the simple excitations (both point-like and\nloop-l
 ike) that are present in this model and how these excitations\ncan be cons
 tructed explicitly using so-called ribbon and membrane\noperators. Some of
  the quasi-particles are confined and we discuss how\nthis arises from a c
 ondensation-confinement transition. We will then\nlook at the (loop-)braid
 ing relations of the excitations and finish by\nexamining the conserved to
 pological charges realised by the Higher\nLattice Gauge Theory Model. <br>
 \n\n[1] A Bullivant\, M. Calcada et al.\, ``Topological phases from higher
 \ngauge symmetry in 3+1D"\, Phys. Rev. B 95\, 155118 (2017)\n
LOCATION:https://researchseminars.org/talk/QM3/2/
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