Twistors and Aspects of Integrability of self-dual SYM Theory

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.

1+7 pages, based on a talk given at the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'05), Dubna, July 27-31 2005; to appear in the proceedings

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