oru.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
On duality and extended chiral symmetry in the SL(2,R) WZW model
Department of Physics, Nanjing University, Nanjing, China.ORCID iD: 0000-0003-0372-5093
2011 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 44, no 23, article id 235404Article in journal (Refereed) Published
Abstract [en]

Two chiral aspects of the SL(2,R) WZW model in an operator formalism are investigated. First, the meaning of duality, or conjugation, of primary fields is clarified. On a class of modules obtained from the discrete series it is shown, by looking at spaces of two-point conformal blocks, that a natural definition of contragredient module provides a suitable notion of conjugation of primary fields, consistent with known two-point functions. We find strong indications that an apparent contradiction with the Clebsch-Gordan series of SL(2,R), and proposed fusion rules, is explained by nonsemisimplicity of a certain category. Second, results indicating an infinite cyclic simple current group, corresponding to spectral flow automorphisms, are presented. In particular, the subgroup corresponding to even spectral flow provides part of a hypothetical extended chiral algebra resulting in proposed modular invariant bulk spectra.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2011. Vol. 44, no 23, article id 235404
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:oru:diva-57706DOI: 10.1088/1751-8113/44/23/235404ISI: 000290518800011Scopus ID: 2-s2.0-79956147278OAI: oai:DiVA.org:oru-57706DiVA, id: diva2:1096424
Funder
Swedish Research Council, 348-2008-6049
Note

Funding Agency:

NSFC  10775067

Available from: 2014-11-25 Created: 2017-05-17 Last updated: 2017-10-18Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Fjelstad, Jens

Search in DiVA

By author/editor
Fjelstad, Jens
In the same journal
Journal of Physics A: Mathematical and General
Subatomic Physics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 145 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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