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Twistors and Aspects of Integrability of self-dual SYM Theory

2005/11/23 by Martin Wolf, Wolf, Martin
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.hep-th/0511230

openalex publication_date 2005/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

With the help of the Penrose-Ward transform, which relates certain holomorphic vector bundles over the supertwistor space to the equations of motion of self-dual SYM theory in four dimensions, we construct hidden infinite-dimensional symmetries of the theory. We also present a new and shorter proof (cf. hep-th/0412163) of the relation between certain deformation algebras and hidden symmetry algebras. This article is based on a talk given by the author at the Workshop on Supersymmetries and Quantum Symmetries 2005 at the BLTP in Dubna, Russia.

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