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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

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DOI (Published version): 10.1016/j.nuclphysb.2015.08.015

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
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URI: https://cronfa.swan.ac.uk/Record/cronfa33816
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spelling 2019-08-02T13:42:01.3500653 v2 33816 2017-05-22 Generalised integrable λ - and η -deformations and their relation 9c8715ee44a574eda1194c9808d99c62 0000-0001-8319-8275 Daniel Thompson Daniel Thompson true false 2017-05-22 SPH 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. Journal Article Nuclear Physics B 899 489 512 05503213 31 10 2015 2015-10-31 10.1016/j.nuclphysb.2015.08.015 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University SCOAP 2019-08-02T13:42:01.3500653 2017-05-22T09:57:48.2921416 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Konstantinos Sfetsos 1 Konstantinos Siampos 2 Daniel Thompson 0000-0001-8319-8275 3 0033816-18072017135247.pdf GeneralisedIntegrable.pdf 2017-07-18T13:52:47.3370000 Output 441396 application/pdf Version of Record true 2017-07-18T00:00:00.0000000 true eng 0033816-23052017091127.pdf 1506.05784.pdf 2017-05-23T09:11:27.3130000 Output 323710 application/pdf Accepted Manuscript true 2017-05-23T00:00:00.0000000 true eng
title Generalised integrable λ - and η -deformations and their relation
spellingShingle Generalised integrable λ - and η -deformations and their relation
Daniel Thompson
title_short Generalised integrable λ - and η -deformations and their relation
title_full Generalised integrable λ - and η -deformations and their relation
title_fullStr Generalised integrable λ - and η -deformations and their relation
title_full_unstemmed Generalised integrable λ - and η -deformations and their relation
title_sort Generalised integrable λ - and η -deformations and their relation
author_id_str_mv 9c8715ee44a574eda1194c9808d99c62
author_id_fullname_str_mv 9c8715ee44a574eda1194c9808d99c62_***_Daniel Thompson
author Daniel Thompson
author2 Konstantinos Sfetsos
Konstantinos Siampos
Daniel Thompson
format Journal article
container_title Nuclear Physics B
container_volume 899
container_start_page 489
publishDate 2015
institution Swansea University
issn 05503213
doi_str_mv 10.1016/j.nuclphysb.2015.08.015
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description 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.
published_date 2015-10-31T03:41:54Z
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score 11.013371

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