Spacetimes for λ-deformations
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 black-hole CFT. A further example interpolates between the gauged WZW model and the non-Abelian T-dual of AdS 3 × S 3 × T 4 supported with Ramond flux.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- December 2014
- DOI:
- 10.1007/JHEP12(2014)164
- arXiv:
- arXiv:1410.1886
- Bibcode:
- 2014JHEP...12..164S
- Keywords:
-
- Conformal Field Models in String Theory;
- Integrable Field Theories;
- String Duality;
- Sigma Models;
- High Energy Physics - Theory;
- Mathematical Physics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 35 pages, 1 figure