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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

Gauging The Diamond: Integrable Coset Models from Twistor Space

classification hep-th
keywords modelsdimensionsintegrablechern-simonscosetdiamondhigher-dimensionalorigin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 5 Pith papers

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

  1. Schwarzschild black holes from twistor space

    hep-th 2026-07 conditional novelty 8.0

    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. On the structure of higher-dimensional integrable field theories

    hep-th 2026-04 unverdicted novelty 8.0

    Integrable (d+1)-dimensional field theories are obtained via homotopy transfer from cyclic L_infinity-algebras describing topological-holomorphic higher Chern-Simons theories on M × CP¹, with integrability encoded in ...

  3. The Yang-Baxter Sigma Model from Twistor Space

    hep-th 2026-02 unverdicted novelty 7.0

    A 4D analogue of the Yang-Baxter sigma model is derived from 6D twistor-space Chern-Simons theory via symmetry reduction, with its 2D equations embedded in anti-self-dual Yang-Mills.

  4. Non-Commutative Gauge Theory at the Beach

    hep-th 2025-09 unverdicted novelty 7.0

    Non-commutative 5d Chern-Simons theory on the spinor bundle compactifies to the KP equation, with vanishing tree amplitudes and W_{1+∞} defect algebra reducing to w_{1+∞} in the dispersionless limit.

  5. The classical Yangian symmetry of Auxiliary Field Sigma Models

    hep-th 2026-05 unverdicted novelty 6.0

    Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.