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SUMMARY:Joe Huxford (Oxford University)
DTSTART:20200520T100000Z
DTEND:20200520T110000Z
DTSTAMP:20260404T131153Z
UID:QM3/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/QM3/2
 /">Topological phases in 3+1D: the higher lattice gauge theory model and i
 ts excitations</a>\nby Joe Huxford (Oxford University) as part of Quantum 
 Matter meets Maths (IST\, Lisbon)\n\n\nAbstract\nTopological phases in 3+1
 D are less well understood than\ntheir lower dimensional counterparts. A u
 seful approach 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 exis
 ting model for certain\ntopological phases in 3+1D (the model was first pr
 esented in [1]).\nThis model is based on a generalisation of lattice gauge
  theory known\nas higher lattice gauge theory\, which treats parallel tran
 sport of\nlines as well as points. I will first provide a brief introducti
 on to\nhigher lattice gauge theory and the Hamiltonian model constructed f
 rom\nit. Then we will look at the simple excitations (both point-like and\
 nloop-like) that are present in this model and how these excitations\ncan 
 be constructed explicitly using so-called ribbon and membrane\noperators. 
 Some of the quasi-particles are confined and we discuss how\nthis arises f
 rom a condensation-confinement transition. We will then\nlook at the (loop
 -)braiding relations of the excitations and finish by\nexamining the conse
 rved topological charges realised by the Higher\nLattice Gauge Theory Mode
 l. <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://stable.researchseminars.org/talk/QM3/2/
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