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Modular invariant partition functions for noncompact G/Ad(H) models
Department of Applied Mathematics and Theoretical Physics, University of Cambridge; Cambridge, UK.
Department of Physics, Nanjing University, Nanjing, China.ORCID iD: 0000-0003-0372-5093
2011 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 83, no 8, article id 086007Article in journal (Refereed) Published
Abstract [en]

We propose a spectrum for a class of gauged non-compact G/Ad(H) WZNW models, including spectrally flowed images of highest, lowest, and mixed extremal weight modules. These are combined into blocks whose characters, due to the Lorentzian signature of the target space, are divergent and treated as formal expressions in need of regularisation. Assuming that this is possible, we show that these extended characters transform linearly under modular transformations, and can be used to write down modular invariant partition functions.

Place, publisher, year, edition, pages
American Physical Society, 2011. Vol. 83, no 8, article id 086007
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:oru:diva-57704DOI: 10.1103/PhysRevD.83.086007ISI: 000290112200009Scopus ID: 2-s2.0-79956112789OAI: oai:DiVA.org:oru-57704DiVA, id: diva2:1096427
Funder
Swedish Research Council, 623-2008-7048 348-2008-6049
Note

Funding Agency:

NSFC  10775067

Available from: 2014-11-25 Created: 2017-05-17 Last updated: 2018-05-07Bibliographically approved

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Fjelstad, Jens

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