Linearized Form of the Generic Affine-Virasoro Action

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.

18 pages, Latex, UCB-PTH-93/34, LBL-34938, ITP-SB-93-88 (A sign was changed in equation (4.7))

References in corpus (2)

• On a `universal' class of WZW-type conformal models
• Recent Progress in Irrational Conformal Field Theory

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• The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26. I.Extended Actions and New Twisted World-Sheet Gravities
• Conformal Models of Thirring Type and the Affine Virasoro Construction