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Gauging the diamond: integrable coset models from twistor space

LEWIS COLE, Ryan A. Cullinan Orcid Logo, Ben Hoare Orcid Logo, Joaquin Liniado Orcid Logo, Daniel Thompson Orcid Logo

Journal of High Energy Physics, Volume: 2024, Start page: 202

Swansea University Authors: LEWIS COLE, Daniel Thompson Orcid Logo

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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 o...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Nature 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa68645
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.
Keywords: Chern-Simons Theories, Integrable Field Theories
College: Faculty of Science and Engineering
Funders: The authors would like to thank Alex Arvanitakis, Roland Bittleston, Falk Hassler, Tim Hollowood, Sylvain Lacroix, Marc Magro and Benoit Vicedo for interesting discussions. This work was first presented by D.C.T. at the Workshop on Integrable Sigma-Models held in ETH Zurich in May 2024. B.H and D.C.T. would also like to thank the organisers and participants for numerous stimulating and lively discussions. B.H. is supported by a UKRI Future Leaders Fellowship (grant number MR/T018909/1). The work of J.L. is supported by CONICET. D.C.T. is supported by the STFC grant ST/X000648/1, and by the Royal Society through a University Research Fellowship ‘Generalised Dualities in String Theory and Holography’ URF 150185.
Start Page: 202