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19 January 2021
  » arxiv » hep-th/9505012

 Article overview

The Topological G/G WZW Model in the Generalized Momentum Representation
A.Yu.Alekseev ; P.Schaller ; T.Strobl ;
Date 2 May 1995
Journal Phys.Rev. D52 (1995) 7146-7160
Subject hep-th
AbstractWe consider the topological gauged WZW model in the generalized momentum representation. The chiral field $g$ is interpreted as a counterpart of the electric field $E$ of conventional gauge theories. The gauge dependence of wave functionals $Psi(g)$ is governed by a new gauge cocycle $phi_{GWZW}$. We evaluate this cocycle explicitly using the machinery of Poisson $sigma$-models. In this approach the GWZW model is reformulated as a Schwarz type topological theory so that the action does not depend on the world-sheet metric. The equivalence of this new formulation to the original one is proved for genus one and conjectured for an arbitrary genus Riemann surface. As a by-product we discover a new way to explain the appearance of Quantum Groups in the WZW model.
Source arXiv, hep-th/9505012
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