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arXiv · hep-th/9312094

Linearized Form of the Generic Affine-Virasoro Action

J. de Boer·K. Clubok·M. B. Halpern
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Abstract

Halpern and Yamron have given a Lorentz, conformal, and Diff S$_2$-invariant world-sheet action for the generic irrational conformal field theory, but the action is highly non-linear. In this paper, we introduce auxiliary fields to find an equivalent linearized form of the action, which shows in a very clear way that the generic affine-Virasoro action is a Diff S$_2$-gauged WZW model. In particular, the auxiliary fields transform under Diff S$_2$ as local Lie $g$ $\times$ Lie $g$ connections, so that the linearized affine-Virasoro action bears an intriguing resemblance to the usual (Lie algebra) gauged WZW model.

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J. de Boer, K. Clubok, M. B. Halpern. 1993-12-25. Linearized Form of the Generic Affine-Virasoro Action. https://doi.org/10.1142/s0217751x94000984

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