pith. machine review for the scientific record. sign in

arxiv: 1307.3632 · v3 · submitted 2013-07-13 · ✦ hep-th · math.CT· math.QA

Recognition: unknown

A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories

Jurgen Fuchs , Christoph Schweigert , Alessandro Valentino
Authors on Pith no claims yet
classification ✦ hep-th math.CTmath.QA
keywords theoriescategoriesdefectssurfacedijkgraaf-wittenfieldlinearizationboundaries
0
0 comments X
read the original abstract

Dijkgraaf-Witten theories are extended three-dimensional topological field theories of Turaev-Viro type. They can be constructed geometrically from categories of bundles via linearization. Boundaries and surface defects or interfaces in quantum field theories are of interest in various applications and provide structural insight. We perform a geometric study of boundary conditions and surface defects in Dijkgraaf-Witten theories. A crucial tool is the linearization of categories of relative bundles. We present the categories of generalized Wilson lines produced by such a linearization procedure. We establish that they agree with the Wilson line categories that are predicted by the general formalism for boundary conditions and surface defects in three-dimensional topological field theories that has been developed in arXive:1203.4568.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the SymTFTs of Finite Non-Abelian Symmetries

    hep-th 2026-03 unverdicted novelty 7.0

    Constructs BF-like 3D SymTFT Lagrangians for finite non-Abelian groups presented as extensions, yielding surface-attaching non-genuine line operators and Drinfeld-center fusion rules.