Generalised integrable λ- and η-deformations and their relation

Konstadinos Sfetsos, Konstantinos Siampos, Daniel Thompson

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118 Citations (Scopus)

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)SU(2) WZW model and the SU(2)/U(1)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.
Original languageEnglish
Pages (from-to)489-512
Number of pages24
JournalNuclear Physics B
Volume899
DOIs
Publication statusPublished - 20 Aug 2015

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