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On duality and extended chiral symmetry in the SL(2,R) WZW model
2011 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 44Article 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
2011. Vol. 44
National Category
Subatomic Physics
URN: urn:nbn:se:uu:diva-236923DOI: 10.1088/1751-8113/44/23/235404OAI: oai:DiVA.org:uu-236923DiVA: diva2:766025
Available from: 2014-11-25 Created: 2014-11-25 Last updated: 2014-11-25

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Fjelstad, Jens
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