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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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