Integrable λλ-deformations: Squashing Coset CFTs and AdS5×S5AdS_5\times S^5

preprint2015arXivOpen access

Abstract

We examine integrable λλ-deformations of SO(n+1)/SO(n)SO(n+1)/SO(n) coset CFTs and their analytic continuations. We provide an interpretation of the deformation as a squashing of the corresponding coset σσ-model's target space. We realise the λλ-deformation for n=5n=5 case as a solution to supergravity supported by non-vanishing five-form and dilaton. This interpolates between the coset CFT SO(4,2)/SO(4,1)×SO(6)/SO(5)SO(4,2)/SO(4,1)\times SO(6)/SO(5) constructed as a gauged WZW model and the non-Abelian T-dual of the AdS5×S5AdS_5\times S^5 spacetime.

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