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Exact solution of the SL\((2,\mathbb{R})/U(1)\) WZNW model. (English) Zbl 0925.81123

Summary: It is shown that the exact solution of the gauged SL\((2,\mathbb{R})/U(1)\) Wess-Zumino-Novikov-Witten (WZNW) black hole model is asymptotically related to the solution of an integrable non-abelian Toda theory. A second-order differential equation characterizes the structure of the theory, and its fundamental solutions describe the general solution of the WZNW model as well. As in Liouville theory, physical and free fields are non-locally related transforming the energy-momentum tensor into a canonical free field form. The black hole model is expected to be canonically quantizable.

MSC:

81T20 Quantum field theory on curved space or space-time backgrounds
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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