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Classical and quantum aspects of Yang-Baxter Wess-Zumino models

Saskia Demulder, Sibylle Driezen, Alexander Sevrin, Daniel Thompson Orcid Logo

Journal of High Energy Physics, Volume: 2018, Issue: 3

Swansea University Author: Daniel Thompson Orcid Logo

  • 10.1007-JHEP03(2018)041.pdf

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DOI (Published version): 10.1007/JHEP03(2018)041

Abstract

We investigate the integrable Yang-Baxter deformation of the 2d Principal Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop $\beta$-functions are calculated and display a surprising connection between classical and quantum physics: the classical integrability condition is nece...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa39100
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first_indexed 2018-03-19T20:37:02Z
last_indexed 2020-07-13T18:58:31Z
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spelling 2020-07-13T15:15:32.9191184 v2 39100 2018-03-19 Classical and quantum aspects of Yang-Baxter Wess-Zumino models 9c8715ee44a574eda1194c9808d99c62 0000-0001-8319-8275 Daniel Thompson Daniel Thompson true false 2018-03-19 SPH We investigate the integrable Yang-Baxter deformation of the 2d Principal Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop $\beta$-functions are calculated and display a surprising connection between classical and quantum physics: the classical integrability condition is necessary to prevent new couplings being generated by renormalisation. We show these theories admit an elegant realisation of Poisson-Lie T-duality acting as a simple inversion of coupling constants. The self-dual point corresponds to the Wess-Zumino-Witten model and is the IR fixed point under RG. We address the possibility of having supersymmetric extensions of these models showing that extended supersymmetry is not possible in general. Journal Article Journal of High Energy Physics 2018 3 1029-8479 Integrable Field Theories; Sigma Models; String Dualities 7 3 2018 2018-03-07 10.1007/JHEP03(2018)041 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-13T15:15:32.9191184 2018-03-19T15:07:24.3455330 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Saskia Demulder 1 Sibylle Driezen 2 Alexander Sevrin 3 Daniel Thompson 0000-0001-8319-8275 4 0039100-19032018151200.pdf 10.1007-JHEP03(2018)041.pdf 2018-03-19T15:12:00.3000000 Output 1073975 application/pdf Version of Record true 2018-03-19T00:00:00.0000000 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) true eng
title Classical and quantum aspects of Yang-Baxter Wess-Zumino models
spellingShingle Classical and quantum aspects of Yang-Baxter Wess-Zumino models
Daniel Thompson
title_short Classical and quantum aspects of Yang-Baxter Wess-Zumino models
title_full Classical and quantum aspects of Yang-Baxter Wess-Zumino models
title_fullStr Classical and quantum aspects of Yang-Baxter Wess-Zumino models
title_full_unstemmed Classical and quantum aspects of Yang-Baxter Wess-Zumino models
title_sort Classical and quantum aspects of Yang-Baxter Wess-Zumino models
author_id_str_mv 9c8715ee44a574eda1194c9808d99c62
author_id_fullname_str_mv 9c8715ee44a574eda1194c9808d99c62_***_Daniel Thompson
author Daniel Thompson
author2 Saskia Demulder
Sibylle Driezen
Alexander Sevrin
Daniel Thompson
format Journal article
container_title Journal of High Energy Physics
container_volume 2018
container_issue 3
publishDate 2018
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP03(2018)041
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 investigate the integrable Yang-Baxter deformation of the 2d Principal Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop $\beta$-functions are calculated and display a surprising connection between classical and quantum physics: the classical integrability condition is necessary to prevent new couplings being generated by renormalisation. We show these theories admit an elegant realisation of Poisson-Lie T-duality acting as a simple inversion of coupling constants. The self-dual point corresponds to the Wess-Zumino-Witten model and is the IR fixed point under RG. We address the possibility of having supersymmetric extensions of these models showing that extended supersymmetry is not possible in general.
published_date 2018-03-07T03:49:37Z
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score 11.035634

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