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

Ctirad Klimčík (1)

1 I2M - Institut de Mathématiques de Marseille

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 λ-models. We then generalize this result by showing that the analytic continuation of a generic σ-model of " universal WZW-type " introduced by Tseytlin in 1993 is nothing but the Poisson-Lie T-dual of a generic Poisson-Lie symmetric σ-model introduced by Klimčík and Ševera in 1995.

Domaines: Physique mathématique [math-ph]

Ctirad Klimčík. Poisson-Lie T-duals of the bi-Yang-Baxter models. Physics Letters B, 2016, 760, pp.345 - 349. ⟨10.1016/j.physletb.2016.06.077⟩. ⟨hal-01485544⟩