Generalised integrable $\lambda$- and $\eta$-deformations and their relation
High Energy Physics - Theory
2015-09-01 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct two-parameter families of integrable -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 WZW model and the exact coset CFT, we show that these deformations are related to bi-Yang-Baxter generalisations of -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 -model for a general group is one-loop renormalisable.
Cite
@article{arxiv.1506.05784,
title = {Generalised integrable $\lambda$- and $\eta$-deformations and their relation},
author = {Konstantinos Sfetsos and Konstantinos Siampos and Daniel C. Thompson},
journal= {arXiv preprint arXiv:1506.05784},
year = {2015}
}
Comments
33 pages, Latex, v2: 35 pages, Latex, clarifying comments, v3: few minor changes, NPB version