Spacetimes for \lambda-deformations
Abstract
We examine a recently proposed class of integrable deformations to two-dimensional conformal field theories. These {\lambda}-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. {\lambda}-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 gauged WZW model and the non-Abelian T-dual of supported with Ramond flux.
Cite
@article{arxiv.1410.1886,
title = {Spacetimes for \lambda-deformations},
author = {Konstantinos Sfetsos and Daniel C. Thompson},
journal= {arXiv preprint arXiv:1410.1886},
year = {2015}
}
Comments
35 pages, 1 figure