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Symmetries and defects in three-dimensional topological field theory
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för ingenjörsvetenskap och fysik (from 2013).ORCID-id: 0000-0003-4081-6234
Hamburg University.
2016 (engelsk)Inngår i: Proceedings of Symposia in Pure Mathematics, Providence: American Mathematical Society (AMS), 2016, Vol. 93, s. 21-40Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
Providence: American Mathematical Society (AMS), 2016. Vol. 93, s. 21-40
Serie
Proceedings of Symposia in Pure Mathematics, ISSN 2324-707X
Emneord [en]
Topological field theory; tensor categories; topological defects; Brauer-Picard group
HSV kategori
Forskningsprogram
Fysik
Identifikatorer
URN: urn:nbn:se:kau:diva-45610ISI: 000379639000002ISBN: 978-1-4704-1992-9 (tryckt)OAI: oai:DiVA.org:kau-45610DiVA, id: diva2:957074
Konferanse
Conference on String Math 2014
Forskningsfinansiär
Swedish Research Council, 621-2013-4207Tilgjengelig fra: 2016-08-31 Laget: 2016-08-31 Sist oppdatert: 2019-06-17bibliografisk kontrollert

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