Effective Action and Exact Geometry in Chiral Gauged WZW Models

TL;DR

This paper derives the exact effective action for chiral gauged WZW models, computes the precise geometric fields, and analyzes geodesics, including a three-dimensional model akin to the black string, advancing understanding of these quantum geometries.

Contribution

It introduces an effective action for chiral gauged WZW models and provides exact geometric solutions, differing from traditional models and extending the analysis to specific three-dimensional cases.

Findings

Exact metric, antisymmetric tensor, and dilaton fields computed.

General solutions for geodesic equations obtained.

A three-dimensional model similar to the black string analyzed.

Abstract

Following recent work on the effective quantum action of gauged WZW models, we suggest such an action for {\it chiral} gauged WZW models which in many respects differ from the usual gauged WZW models. Using the effective action we compute the conformally exact expressions for the metric, the antisymmetric tensor, and the dilaton fields in the $\s$-model arising from a general {\it chiral } gauged WZW model. We also obtain the general solution of the geodesic equations in the exact geometry. Finally we consider in some detail a three dimensional model which has certain similarities with the three dimensional black string model. Finally we consider in some detail a three dimensional model which has certain similarities with the three dimensional black string model.