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Spacetimes for λ-deformations

2014/10/07 by Konstantinos Sfetsos, Daniel C. Thompson · 2 citations
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1007/jhep12(2014)164

35 pages, 1 figure

arxiv created 2014/10/07 · arxiv updated 2015/06/23

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 (SU(2)× SU(2))/(SU(2))×(SL(2,R)× SL(2,R))/(SL(2,R)) × U(1)4 gauged WZW model and the non-Abelian T-dual of AdS3× S3× T4 supported with Ramond flux.

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