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Partition functions, mapping class groups and Drinfeld doubles
Department of Physics, Nanjing University, Nanjing, China.ORCID iD: 0000-0003-0372-5093
Teoretisk fysik, Karlstad University, Karlstad, Sweden.
Teoretisk fysik, Karlstad University, Karlstad, Sweden.
Algebra und Zahlentheorie, Hamburg University, Hamburg, Germany.
2012 (English)In: Symmetries and Groups in Contemporary Physics: Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in PhysicsTianjin, China, 20 – 26 August 2012, Shanghai: World Scientific, 2012, p. 405-410Conference paper, Published paper (Refereed)
Abstract [en]

Higher genus partition functions of two-dimensional conformal field theories have to be invariants under linear actions of mapping class groups. We illustrate recent results [4,6] on the construction of such invariants by concrete expressions obtained for the case of Drinfeld doubles of finite groups. The results for doubles are independent of the characteristic of the underlying field, and the general results do not require any assumptions of semisimplicity.

Place, publisher, year, edition, pages
Shanghai: World Scientific, 2012. p. 405-410
Series
Nankai Series in Pure, Applied Mathematics and Theoretical Physics ; 11
Keywords [en]
Mapping class group; factorizable Hopf algebra; Drinfeld double; conformal field theory
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:oru:diva-57725DOI: 10.1142/9789814518550_0055ISBN: 978-981-4518-54-3 (print)ISBN: 978-981-4518-56-7 (electronic)OAI: oai:DiVA.org:oru-57725DiVA, id: diva2:1096443
Conference
The XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, August 20-26, 2012
Available from: 2014-11-25 Created: 2017-05-17 Last updated: 2019-04-02Bibliographically approved

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Fjelstad, Jens

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf