https://doi.org/10.1140/epjc/s10052-025-14453-x
Regular Article - Theoretical Physics
Integrable deformed 
WZW models and their non-Abelian duals as solutions of generalized supergravity equations
Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran
Received:
15
March
2025
Accepted:
21
June
2025
Published online:
1
July
2025
We show that the Yang–Baxter (YB) deformed backgrounds of the Wess–Zumino–Witten (WZW) model based on the 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.
© The Author(s) 2025
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