Gauging the diamond: integrable coset models from twistor space

Abstract Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-dimensional Chern-Simons, this gives rise to a diamond corresp...

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Main Authors: Lewis T. Cole, Ryan A. Cullinan, Ben Hoare, Joaquin Liniado, Daniel C. Thompson
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2024)202
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author Lewis T. Cole
Ryan A. Cullinan
Ben Hoare
Joaquin Liniado
Daniel C. Thompson
author_facet Lewis T. Cole
Ryan A. Cullinan
Ben Hoare
Joaquin Liniado
Daniel C. Thompson
author_sort Lewis T. Cole
collection DOAJ
description Abstract Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-dimensional Chern-Simons, this gives rise to a diamond correspondence of theories. In this work we extend this framework to incorporate models realised through gaugings. As well as describing a higher-dimensional origin of coset CFTs, by choosing the details of the reduction from higher dimensions, we obtain rich classes of two-dimensional integrable models including homogeneous sine-Gordon models and generalisations that are new to the literature.
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institution Kabale University
issn 1029-8479
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publishDate 2024-12-01
publisher SpringerOpen
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series Journal of High Energy Physics
spelling doaj-art-ab72af86daa34abebc5d1b9af3d4542b2025-01-05T12:05:56ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241215210.1007/JHEP12(2024)202Gauging the diamond: integrable coset models from twistor spaceLewis T. Cole0Ryan A. Cullinan1Ben Hoare2Joaquin Liniado3Daniel C. Thompson4Department of Physics, Swansea UniversityDepartment of Mathematical Sciences, Durham UniversityDepartment of Mathematical Sciences, Durham UniversityInstituto de Física La Plata (CONICET and Universidad Nacional de La Plata)Department of Physics, Swansea UniversityAbstract Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-dimensional Chern-Simons, this gives rise to a diamond correspondence of theories. In this work we extend this framework to incorporate models realised through gaugings. As well as describing a higher-dimensional origin of coset CFTs, by choosing the details of the reduction from higher dimensions, we obtain rich classes of two-dimensional integrable models including homogeneous sine-Gordon models and generalisations that are new to the literature.https://doi.org/10.1007/JHEP12(2024)202Chern-Simons TheoriesIntegrable Field Theories
spellingShingle Lewis T. Cole
Ryan A. Cullinan
Ben Hoare
Joaquin Liniado
Daniel C. Thompson
Gauging the diamond: integrable coset models from twistor space
Journal of High Energy Physics
Chern-Simons Theories
Integrable Field Theories
title Gauging the diamond: integrable coset models from twistor space
title_full Gauging the diamond: integrable coset models from twistor space
title_fullStr Gauging the diamond: integrable coset models from twistor space
title_full_unstemmed Gauging the diamond: integrable coset models from twistor space
title_short Gauging the diamond: integrable coset models from twistor space
title_sort gauging the diamond integrable coset models from twistor space
topic Chern-Simons Theories
Integrable Field Theories
url https://doi.org/10.1007/JHEP12(2024)202
work_keys_str_mv AT lewistcole gaugingthediamondintegrablecosetmodelsfromtwistorspace
AT ryanacullinan gaugingthediamondintegrablecosetmodelsfromtwistorspace
AT benhoare gaugingthediamondintegrablecosetmodelsfromtwistorspace
AT joaquinliniado gaugingthediamondintegrablecosetmodelsfromtwistorspace
AT danielcthompson gaugingthediamondintegrablecosetmodelsfromtwistorspace