A Twistor Description of Six-Dimensional N=(1,1) Super Yang-Mills Theory

Abstract

We present a twistor space that describes super null-lines on six-dimensional N=(1,1) superspace. We then show that there is a one-to-one correspondence between holomorphic vector bundles over this twistor space and solutions to the field equations of N=(1,1) super Yang-Mills theory. Our constructions naturally reduce to those of the twistorial description of maximally supersymmetric Yang-Mills theory in four dimensions.

15 pages, typos fixed, published version

References in corpus (4)

• Amplitudes and Spinor-Helicity in Six Dimensions
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised Unitarity
• N=8 Superspace Constraints for Three-dimensional Gauge Theories

Cited by in corpus (7)

• On Twistors and Conformal Field Theories from Six Dimensions
• $L_{\infty }$-Algebras, the BV Formalism, and Classical Fields
• Supersymmetric Yang-Mills Theory as Higher Chern-Simons Theory
• Renormalization of six-dimensional Yang-Mills theory in a background gauge field
• Instantons in six dimensions and twistors
• Instantons on the six-sphere and twistors
• Explicit Non-Abelian Gerbes with Connections