Generalised integrable λ - and η -deformations and their relation
- Sfetsos, KonstantinosDepartment of Nuclear and Particle Physics, Faculty of Physics, University of Athens, Athens, 15784, Greece
- Siampos, Konstantinos(Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, Bern, CH3012, Switzerland)
- Thompson, Daniel C.(Theoretische Natuurkunde, Vrije Universiteit Brussel, The International Solvay Institutes, Pleinlaan 2, Brussels, B-1050, Belgium)
Publication date
October 2015
DOIAbstract
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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