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Orbifolds of topological quantum field theories (2307.16674v2)

Published 31 Jul 2023 in math-ph, hep-th, math.MP, and math.QA

Abstract: The orbifold construction via topological defects in quantum field theory can either be understood as a state sum construction internal to a given ambient theory, or as the procedure of (identifying and) gauging ordinary and "non-invertible" symmetries. Here we explain how this is rigorously understood in the case of topological QFTs. We provide various examples and outline general features, also of relevance for full QFT.

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