Integrable deformed H${}_{{}_4}$ WZW models and their non-Abelian duals as solutions of generalized supergravity equations

Abstract

We show that the Yang-Baxter (YB) deformed backgrounds of the Wess-Zumino-Witten (WZW) model based on the $H_{{}_4}$ Lie group can be considered as solutions of the generalized supergravity equations (GSEs). Then, by applying the Poisson-Lie T-duality in the presence of spectator fields, we obtain the non-Abelian target space duals of those models. It is shown that all dual models (except for one model) are integrable and most interestingly, they satisfy the GSEs. As a final remark, we show that all solutions of the GSEs for the original models are trivial.

25 pages, 7 tables

References in corpus (12)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Abelian Yang-Baxter Deformations and TsT transformations
• Yang-Baxter sigma models based on the CYBE
• Generalized Supergravity Equations and Generalized Fradkin-Tseytlin Counterterm
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• Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations
• Yang-Baxter deformations of the $GL(2,\mathbb{R})$ WZW model and non-Abelian T-duality
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• Generalized Supergravity Equations for the WZW Model

Cited by in corpus (1)

• Integrable sigma models with Haantjes structure on $H_4$ Lie group