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arXiv · 2105.04613

Domain walls between 3d phases of Reshetikhin-Turaev TQFTs

Vincent Koppen·Vincentas Mulevicius·Ingo Runkel·Christoph Schweigert
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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.

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Vincent Koppen, Vincentas Mulevicius, Ingo Runkel, Christoph Schweigert. 2021-05-10. Domain walls between 3d phases of Reshetikhin-Turaev TQFTs. https://doi.org/10.1007/s00220-022-04489-5

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