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Gauging The Diamond: Integrable Coset Models from Twistor Space

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arxiv 2407.09479 v1 pith:ER6TVVDO submitted 2024-07-12 hep-th

Lewis T. Cole , Ryan A. Cullinan , Ben Hoare , Joaquin Liniado , Daniel C. Thompson This is my paper · ORCID
classification hep-th
keywords modelsdimensionsintegrablechern-simonscosetdiamondhigher-dimensionalorigin
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Schwarzschild black holes from twistor space

    hep-th 2026-07 conditional novelty 8.0 of 10

    The Schwarzschild metric is derived as a Kähler metric on a holomorphic 'coincidence locus' within the twistor space of self-dual Taub-NUT, solving the googly problem for this specific spacetime.

  2. The Yang-Baxter Sigma Model from Twistor Space

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    Twistor-space 6d Chern-Simons theory with Yang-Baxter boundary conditions yields a 4d integrable field theory whose symmetry reduction is the 2d Yang-Baxter sigma model.

  3. Beta-deformation in Twistor-String Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    Ghost-number-two BRST states of the B-model on CP^{3|4} realize the beta deformation of N=4 super-Yang-Mills and deform the action by a current-current term.

  4. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

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