Generalised integrable λ- and η-deformations and their relation

2015/06/30 by Konstantinos Sfetsos, Konstantinos Siampos, Daniel C. Thompson · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1016/j.nuclphysb.2015.08.015

33 pages, Latex, v2: 35 pages, Latex, clarifying comments, v3: few minor changes, NPB version

arxiv created 2015/08/31 · arxiv updated 2015/09/01

Abstract

We construct two-parameter families of integrable λ-deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the SU(2) WZW model and the SU(2)/U(1) exact coset CFT, we show that these deformations are related to bi-Yang-Baxter generalisations of η-deformations via Poisson-Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang-Baxter σ-model for a general group is one-loop renormalisable.

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