English

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

High Energy Physics - Theory 2019-06-27 v2

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.

Keywords

Cite

@article{arxiv.1812.07287,
  title  = {Marginal deformations of WZW models and the classical Yang-Baxter equation},
  author = {Riccardo Borsato and Linus Wulff},
  journal= {arXiv preprint arXiv:1812.07287},
  year   = {2019}
}

Comments

29 pages; v2: Clarification of marginality condition from conformal pert. theory and of non-SUGRA solution (R4). Appendix E improved. Published version