Konstantinos Sfetsos

Spacetimes for λ-deformations

A bstractWe 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 Sl2ℝ/U1

Generalised integrable λ - and η -deformations and their relation

\mathrm{S}\mathrm{l}\left(2,\mathrm{\mathbb{R}}\right)/\mathrm{U}(1)

The anisotropic λ-deformed SU(2) model is integrable

black-hole CFT. A further example interpolates between the SU2×SU2SU2×SL2ℝ×SL2ℝSL2ℝU14

λ-Deformations of left–right asymmetric CFTs

\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

All-loop correlators of integrable λ -deformed σ -models

gauged WZW model and the non-Abelian T-dual of AdS3 × S3 × T4 supported with Ramond flux.

Quantum aspects of doubly deformed CFTs

A bstractWe examine integrable λ-deformations of SO(n + 1)/SO(n) coset CFTs and their analytic continuations. We provide an interpretation of the deformation as a squashing of the corresponding coset σ-model’s target space. We realise the λ-deformation for n = 5 case as a solution to supergravity supported by non-vanishing five-form and dilaton. This interpolates between the coset CFT SO(4, 2)/SO(4, 1) × SO(6)/SO(5) constructed as a gauged WZW model and the non-Abelian T-dual of the AdS5 × S5 spacetime.