English

Spacetimes for \lambda-deformations

High Energy Physics - Theory 2015-06-23 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

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 SU(2)×SU(2)SU(2)×SL(2,R)×SL(2,R)SL(2,R)×U(1)4\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 AdS3×S3×T4AdS_3\times S^3\times T^4 supported with Ramond flux.

Keywords

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

R2 v1 2026-06-22T06:15:35.274Z