Change search
ReferencesLink to record
Permanent link

Direct link
A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics.ORCID iD: 0000-0003-4081-6234
2014 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 332, 981-1015 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 332, 981-1015 p.
National Category
Subatomic Physics
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-34289DOI: 10.1007/s00220-014-2067-0ISI: 000342421400004OAI: oai:DiVA.org:kau-34289DiVA: diva2:754740
Funder
Swedish Research Council, 621-2009-3993
Available from: 2014-10-12 Created: 2014-10-12 Last updated: 2015-02-27Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Fuchs, Jürgen
By organisation
Department of Engineering and Physics
In the same journal
Communications in Mathematical Physics
Subatomic Physics

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 19 hits
ReferencesLink to record
Permanent link

Direct link