English

Poisson-Lie T-duals of the bi-Yang-Baxter models

High Energy Physics - Theory 2016-08-03 v2

Abstract

We prove the conjecture of Sfetsos, Siampos and Thompson that suitable analytic continuations of the Poisson-Lie T-duals of the bi-Yang-Baxter sigma models coincide with the recently introduced generalized lambda models. We then generalize this result by showing that the analytic continuation of a generic sigma model of "universal WZW-type" introduced by Tseytlin in 1993 is nothing but the Poisson-Lie T-dual of a generic Poisson-Lie symmetric sigma model introduced by Klimcik and Severa in 1995.

Keywords

Cite

@article{arxiv.1606.03016,
  title  = {Poisson-Lie T-duals of the bi-Yang-Baxter models},
  author = {C. Klimcik},
  journal= {arXiv preprint arXiv:1606.03016},
  year   = {2016}
}

Comments

15 pages, we present an additional result that the analytic continuation of a generic sigma model of "universal WZW-type" introduced by Tseytlin in 1993 is nothing but the Poisson-Lie T-dual of a generic Poisson-Lie symmetric sigma model introduced by Klimcik and Severa in 1995