Gauging the diamond: integrable coset models from twistor space

Cole, Lewis T.; Cullinan, Ryan A.; Hoare, Ben; Liniado, Joaquin; Thompson, Daniel C.

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.

Citation

Cole, L. T., Cullinan, R. A., Hoare, B., Liniado, J., & Thompson, D. C. (2024). Gauging the diamond: integrable coset models from twistor space. Journal of High Energy Physics, 2024(12), Article 202. https://doi.org/10.1007/jhep12%282024%29202

• Journal Article Type: Article
• Acceptance Date: Nov 21, 2024
• Online Publication Date: Dec 27, 2024
• Publication Date: Dec 27, 2024
• Deposit Date: Jan 7, 2025
• Publicly Available Date: Jan 7, 2025
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2024
• Issue: 12
• Article Number: 202
• DOI: https://doi.org/10.1007/jhep12%282024%29202
• Keywords: Integrable Field Theories, Chern-Simons Theories
• Public URL: https://durham-repository.worktribe.com/output/3324166