Gauge connection between the WZNW system and 2D induced gravity

TL;DR

This paper establishes a gauge-theoretic connection between the SL(2,R) WZNW model and two-dimensional induced gravity, providing a unified framework and explicit solutions linking the two theories.

Contribution

It introduces a gauge extension of the WZNW system and demonstrates its equivalence to 2D induced gravity through functional integration and solution analysis.

Findings

Effective theory matches 2D induced gravity

Explicit solutions relate WZNW and gravity models

Unified gauge framework for both theories

Abstract

We introduce a consistent gauge extension of the SL(2,R) WZNW system, defined by a difference of two simple WZNW actions. By integrating out some dynamical variables in the functional integral, we show that the resulting effective theory coincides with the induced gravity in 2D. General solutions of both theories are found and related to each other.