Effective action of gauged WZW model and exact string solutions

Abstract

We suggest how to derive the exact (all order in $\a'$) expressions for the background fields for string solutions corresponding to gauged WZW models directly at the $2d$ field theory level. One is first to replace the classical gauged WZW action by the quantum effective one and then to integrate out the gauge field. We find the explicit expression for the gauge invariant non-local effective action of the gauged WZW model. The two terms (corresponding to the group and subgroup) which appear with the same coefficients in the classical action get different $k$-dependent coefficients in the effective one. The procedure of integrating out the gauge field is considered in detail for the $SL(2,R)/U(1)$ model and the exact expressions for the $D=2$ metric and the dilaton (originally found in the conformal field theory approach) are reproduced.

26 pages, harvmac, Imperial/TP/92-93/10 (misprints corrected and some explanations added)

References in corpus (10)

• Duality, Quotients, and Currents
• Duality and Dilaton
• Generalized Duality in Curved String-Backgrounds
• Strings on Curved Spacetimes: Black Holes, Torsion, and Duality
• Generalized Duality and Singular Strings in Higher Dimensions
• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• A Superstring Theory in Four Curved Space-Time Dimensions
• Exact Bosonic and Supersymmetric String Black Hole Solutions
• $SL(2,R)xSU(2)/R^2$ string model in curved spacetime and exact conformal results
• Heterotic String Models in Curved Spacetime

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