Journal of High Energy Physics (Dec 2024)

Gauging the diamond: integrable coset models from twistor space

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

DOI
https://doi.org/10.1007/jhep12(2024)202
Journal volume & issue
Vol. 2024, no. 12
pp. 1 – 52

Abstract

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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 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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