# Marginal deformations of WZW models and the classical Yang-Baxter equation

## TL;DR

This paper explores how Yang-Baxter deformations of sigma models, based on solutions to the classical Yang-Baxter equation, induce marginal current-current deformations in WZW models, including non-abelian cases, with a classification for AdS3 x S3.

## Contribution

It demonstrates that YB deformations lead to more general marginal deformations in WZW models, especially for non-compact groups, and classifies these deformations for AdS3 x S3.

## Key findings

- YB deformations produce marginal current-current deformations.
- Non-abelian current subalgebras can be involved in these deformations.
- Classification of deformations for AdS3 x S3 string is provided.

## Abstract

We show how so-called Yang-Baxter (YB) deformations of sigma models, based on an R-matrix solving the classical Yang-Baxter equation (CYBE), give rise to marginal current-current deformations when applied to the Wess-Zumino-Witten (WZW) model. For non-compact groups these marginal deformations are more general than the ones usually considered, since they can involve a non-abelian current subalgebra. We classify such deformations of the AdS(3) x S(3) string.