AdS solutions and $\lambda$-deformations

Abstract

We elevate $\lambda$-deformed $\sigma$-models into full type-II supergravity backgrounds. We construct several solutions which contain undeformed $Ad{S}_n$ spaces, with $n=2,3,4$ and $6$, as an integrable part. In that respect, our examples are the first in the literature in this context and bring $\lambda$-deformations in contact with the AdS/CFT correspondence. The geometries are supported by appropriate dilaton and RR-fields. Most of the solutions admit non-Abelian T-dual limits.

v1: 1+32 pages, v2: minor typos fixed in the formulas (3.22), (6.3), (A.6) and (A.11)

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Cited by in corpus (9)

• Deformed $\sigma$-models, Ricci flow and Toda field theories
• Supersymmetric backgrounds from $\lambda$-deformations
• Novel integrable interpolations
• Supersymmetric solutions of type-II supergravity from $\lambda$-deformations and zoom-in limits
• Integrable $\lambda$-deformations of the Euclidean black string
• Integrability of the $\lambda$-deformation of the PCM with spectators
• Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit
• On the stability of $AdS$ backgrounds with $\lambda$-deformed factors
• Type-II backgrounds from deformed coset CFTs