Global Gauge Anomalies in Coset Models of Conformal Field Theory

We study the occurrence of global gauge anomalies in the coset models of two-dimensional conformal field theory that are based on gauged WZW models. A complete classification of the non-anomalous theories for a wide family of gauged rigid adjoint or twisted-adjoint symmetries of WZW models is achiev...

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Veröffentlicht in:Communications in mathematical physics 2014-06, Vol.328 (3), p.1371-1400
Hauptverfasser: de Fromont, Paul, Gawȩdzki, Krzysztof, Tauber, Clément
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the occurrence of global gauge anomalies in the coset models of two-dimensional conformal field theory that are based on gauged WZW models. A complete classification of the non-anomalous theories for a wide family of gauged rigid adjoint or twisted-adjoint symmetries of WZW models is achieved with the help of Dynkin’s classification of Lie subalgebras of simple Lie algebras.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-014-1995-z