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 Sl(2,R)/U(1) black-hole CFT. A further example interpolates between the $\frac{SU(2)\times SU(2)}{SU(2)}\times \frac{SL(2,R)\times SL(2,R)}{SL(2,R)}\times U(1{)}^4$ gauged WZW model and the non-Abelian T-dual of $Ad{S}_3\times S^3\times T^4$ supported with Ramond flux.

35 pages, 1 figure

References in corpus (10)

• On non-abelian T-dual geometries with Ramond fluxes
• On deformations of AdS_n x S^n supercosets
• An Integrable Deformation of the AdS5 x S5 Superstring
• Integrable Deformations of Strings on Symmetric Spaces
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• The all-loop non-Abelian Thirring model and its RG flow
• The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
• High spin limits and non-abelian T-duality
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix

Cited by in corpus (7)

• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Double Wick rotating Green-Schwarz strings
• Marginal and non-commutative deformations via non-abelian T-duality
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Stringy correlations on deformed $Ad{S}_3\times S^3$