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 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.

44 pages

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Cited by in corpus (2)

• Integrability of the $\lambda$-deformation of the PCM with spectators
• Integrable models from 4d holomorphic BF theory