Linearized Form of the Generic Affine-Virasoro Action

Authors
Type
Published Article
Publication Date
Dec 25, 1993
Submission Date
Dec 11, 1993
Identifiers
DOI: 10.1142/S0217751X94000984
Source
arXiv
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.