Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-12-11
Int.J.Mod.Phys. A9 (1994) 2451-2466
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, Latex, UCB-PTH-93/34, LBL-34938, ITP-SB-93-88 (A sign was changed in equation (4.7))
Scientific paper
10.1142/S0217751X94000984
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.
Boer Jan de
Clubok K.
Halpern M. B.
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