Minisuperspace limit of the AdS3 WZNW model

TL;DR

This paper derives the three-point function of the AdS3 WZNW model in the minisuperspace limit, expressing it through Lie algebra coefficients and introducing a covariant basis for functions on AdS3.

Contribution

It provides the first derivation of the three-point function in the minisuperspace limit of the AdS3 WZNW model using Wick rotation from the H3+ model.

Findings

Three-point function expressed via sl(2,R) Clebsch-Gordan coefficients

Introduction of a covariant basis of functions on AdS3

Connection between bulk-boundary propagators and the covariant basis

Abstract

We derive the three-point function of the AdS3 WZNW model in the minisuperspace limit by Wick rotation from the H3+ model. The result is expressed in terms of Clebsch-Gordan coefficients of the Lie algebra sl(2,R). We also introduce a covariant basis of functions on AdS3, which can be interpreted as bulk-boundary propagators.