Spacetimes for λ-deformations

Abstract

We examine a recently proposed class of integrable deformations to two-dimensional conformal field theories. These λ-deformations interpolate between a WZW model and the non-Abelian T-dual of a Principal Chiral Model on a group G or, between a G/H gauged WZW model and the non-Abelian T-dual of the geometric coset G/H. λ-deformations have been conjectured to represent quantum group q-deformations for the case where the deformation parameter is a root of unity. In this work we show how such deformations can be given an embedding as full string backgrounds whose target spaces satisfy the equations of type-II supergravity. One illustrative example is a deformation of the Sl(2,R)/U(1) black-hole CFT. A further example interpolates between the $\frac{SU(2)\times SU(2)}{SU(2)}\times \frac{SL(2,R)\times SL(2,R)}{SL(2,R)}\times U(1{)}^4$ gauged WZW model and the non-Abelian T-dual of $Ad{S}_3\times S^3\times T^4$ supported with Ramond flux.

35 pages, 1 figure

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• Embedding the modified CYBE in Supergravity
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