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Symmetries and defects in three-dimensional topological field theory
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics.ORCID iD: 0000-0003-4081-6234
Hamburg University.
2016 (English)In: Proceedings of Symposia in Pure Mathematics, Providence: American Mathematical Society (AMS), 2016, Vol. 93, 21-40 p.Conference paper, (Refereed)
Abstract [en]

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.
Series
Proceedings of Symposia in Pure Mathematics, ISSN 2324-707X
Keyword [en]
Topological field theory; tensor categories; topological defects; Brauer-Picard group
National Category
Subatomic Physics
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-45610ISI: 000379639000002ISBN: 978-1-4704-1992-9 (print)OAI: oai:DiVA.org:kau-45610DiVA: diva2:957074
Conference
Conference on String Math 2014
Funder
Swedish Research Council, 621-2013-4207
Available from: 2016-08-31 Created: 2016-08-31 Last updated: 2017-08-09Bibliographically approved

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