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

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.

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

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• Type II DFT solutions from Poisson-Lie T-duality/plurality
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• $\lambda$-deformations of left-right asymmetric CFTs
• Double and cyclic $\lambda$-deformations and their canonical equivalents
• Marginal and non-commutative deformations via non-abelian T-duality
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• Dressing cosets and multi-parametric integrable deformations
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• A new class of integrable deformations of CFTs
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• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
• Exact results from the geometry of couplings and the effective action
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