Marginal deformations of WZW models and the classical Yang–Baxter equation

Source abstract

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 string.