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Generalised integrable λ - and η -deformations and their relation

Konstantinos Sfetsos, Konstantinos Siampos, Daniel Thompson Orcid Logo

Nuclear Physics B, Volume: 899, Pages: 489 - 512

Swansea University Author: Daniel Thompson Orcid Logo

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)...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2015
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa33816
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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.
College: Faculty of Science and Engineering
Start Page: 489
End Page: 512