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Domain walls between 3d phases of Reshetikhin-Turaev TQFTs (2105.04613v1)
Published 10 May 2021 in hep-th, math-ph, math.MP, and math.QA
Abstract: We study surface defects in three-dimensional topological quantum field theories which separate different theories of Reshetikhin-Turaev type. Based on the new notion of a Frobenius algebra over two commutative Frobenius algebras, we present an explicit and computable construction of such defects. It specialises to the construction in Carqueville et al., arXiv:1710.10214 if all 3-strata are labelled by the same topological field theory. We compare the results to the model-independent analysis in Fuchs et al., arXiv:1203.4568 and find agreement.