Domain walls between 3d phases of Reshetikhin-Turaev TQFTs

Understand

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.