Symmetries and defects in three-dimensional topological field theory
2016 (English)In: Proceedings of Symposia in Pure Mathematics, Providence: American Mathematical Society (AMS), 2016, Vol. 93, 21-40 p.Conference paper (Refereed)
Boundary conditions and defects of any codimension are natural parts of any quantum field theory. Surface defects in three-dimensionaltopological field theories of Turaev-Reshetikhin type have applications to two-dimensional conformal field theories, in solid state physics and in quantumcomputing. We explain an obstruction to the existence of surface defects thattakes values in a Witt group. We then turn to surface defects in Dijkgraaf-Witten theories and their construction in terms of relative bundles; this allowsone to exhibit Brauer-Picard groups as symmetry groups of three-dimensionaltopological field theories.
Place, publisher, year, edition, pages
Providence: American Mathematical Society (AMS), 2016. Vol. 93, 21-40 p.
Proceedings of Symposia in Pure Mathematics, ISSN 2324-707X
Topological field theory; tensor categories; topological defects; Brauer-Picard group
Research subject Physics
IdentifiersURN: urn:nbn:se:kau:diva-45610DOI: 10.1090/pspum/093/01564ISI: 000379639000002ISBN: 978-1-4704-1992-9 (print)OAI: oai:DiVA.org:kau-45610DiVA: diva2:957074
Conference on String Math 2014
FunderSwedish Research Council, 621-2013-4207