Type IIB supergravity solution for the T-dual of the eta-deformed AdS_5 x S^5 superstring

Abstract

We find an exact type IIB supergravity solution that represents a one-parameter deformation of the T-dual of the AdS_5 x S^5 background (with T-duality applied in all 6 abelian bosonic isometric directions). The non-trivial fields are the metric, dilaton and RR 5-form only. The latter has remarkably simple "undeformed" form when written in terms of a "deformation-rotated" vielbein basis. An unusual feature of this solution is that the dilaton contains a linear dependence on the isometric coordinates of the metric precluding a straightforward reversal of T-duality. If we still formally dualize back, we find exactly the metric, B-field and product of dilaton with RR field strengths as recently extracted from the eta-deformed AdS_5 x S^5 superstring action in arXiv:1507.04239. We also discuss similar solutions for deformed AdS_n x S^n backgrounds with n=2,3. In the eta -> i limit we demonstrate that all these backgrounds can be interpreted as special limits of gauged WZW models and are also related to (a limit of) the Pohlmeyer-reduced models of the AdS_n x S^n superstrings.

20 pages; v2: minor comments and clarifications added; v3: 21 pages, minor comments and references added

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Cited by in corpus (23)

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• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Almost abelian twists and AdS/CFT
• Integrable Deformations of Sigma Models
• Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
• Generalized gravity from modified DFT
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Classical Yang-Baxter Equation from Supergravity
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Weyl invariance of string theories in generalized supergravity backgrounds
• Deformations of the Almheiri-Polchinski model
• Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting
• Yang-Baxter invariance of the Nappi-Witten model
• Supercoset construction of Yang-Baxter deformed AdS${}_5\times$S${}^5$ backgrounds
• Quantum deformations of $D=4$ Euclidean, Lorentz, Kleinian and quaternionic ${\mathfrak{o}}^{\star }(4)$ symmetries in unified $\mathfrak{o}(4;\mathbb{C})$ setting -- Addendum
• AdS solutions and $\lambda$-deformations
• Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models
• Lax pairs for new ${\mathbb{Z}}_N$-symmetric coset $\sigma$-models and their Yang-Baxter deformations
• Integrable Hopf twists, marginal deformations and generalised geometry
• Lax pairs on Yang-Baxter deformed backgrounds
• On the stability of $AdS$ backgrounds with $\lambda$-deformed factors