Work

Spacetimes for λ-deformations

Year: 2014
Type: article
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.
Language: English
Open Access status: diamond
OpenAlex ID: W2952466164
FWCI: 7.315
Cites: 49
Cited by: 119
Related to: 10