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 \( \mathrm{S}\mathrm{l}\left(2,\mathrm{\mathbb{R}}\right)/\mathrm{U}(1) \) black-hole CFT. A further example interpolates between the \( \frac{\mathrm{SU}(2)\times \mathrm{S}\mathrm{U}(2)}{\mathrm{SU}(2)}\times \frac{\mathrm{SL}\left(2,\mathrm{\mathbb{R}}\right)\times \mathrm{S}\mathrm{L}\left(2,\mathrm{\mathbb{R}}\right)}{\mathrm{SL}\left(2,\mathrm{\mathbb{R}}\right)}\mathrm{U}{(1)}^4 \) gauged WZW model and the non-Abelian T-dual of AdS 3 × S 3 × T 4 supported with Ramond flux.
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Sfetsos, K., Thompson, D.C. Spacetimes for λ-deformations. J. High Energ. Phys. 2014, 164 (2014). https://doi.org/10.1007/JHEP12(2014)164
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DOI: https://doi.org/10.1007/JHEP12(2014)164