A Connection between Twistors and Superstring Sigma Models on Coset Superspaces

Abstract

We consider superstring sigma models that are based on coset superspaces G/H in which H arises as the fixed point set of an order-4 automorphism of G. We show by means of twistor theory that the corresponding first-order system, consisting of the Maurer-Cartan equations and the equations of motion, arises from a dimensional reduction of some generalised self-dual Yang-Mills equations in eight dimensions. Such a relationship might help shed light on the explicit construction of solutions to the superstring equations including their hidden symmetry structures and thus on the properties of their gauge theory duals.

v3: 16 pages, typos fixed and minor clarifications added

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Cited by in corpus (5)

• Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space
• On Twistors and Conformal Field Theories from Six Dimensions
• Contact Manifolds, Contact Instantons, and Twistor Geometry
• Aspects of Quantum Fermionic T-duality
• Instantons on the six-sphere and twistors