Domain walls between 3d phases of Reshetikhin-Turaev TQFTs

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. I...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-05
Main Authors: Koppen, Vincent, Mulevicius, Vincentas, Runkel, Ingo, Schweigert, Christoph
Format: Article
Language:English
Subjects:
Domain walls
Field theory
Quantum theory
Surface defects
Topology
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2105.04613