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A note on permutation twist defects in topological bilayer phases

arXiv:1310.1329 · doi:10.1007/s11005-014-0719-9

Abstract

We present a mathematical derivation of some of the most important physical quantities arising in topological bilayer systems with permutation twist defects as introduced by Barkeshli et al. in cond-mat/1208.4834. A crucial tool is the theory of permutation equivariant modular functors developed by Barmeier et al. in math.CT/0812.0986 and math.QA/1004.1825.

18 pages, some figures