A Six Dimensional View on Twistors

TL;DR

This paper explores a six-dimensional twistor formulation of N=4 super Yang-Mills theory, revealing connections to superconformal symmetry and complexified AdS5, enhancing understanding of the theory's geometric structure.

Contribution

It introduces a novel six-dimensional twistor approach to N=4 super Yang-Mills, making superconformal symmetry explicit and linking to complexified AdS5 geometry.

Findings

Reformulation of twistor equations in six dimensions

Manifest superconformal symmetry in the new formulation

Connection established between twistor theory and complexified AdS5 geometry

Abstract

We study the twistor formulation of the classical N=4 super Yang-Mills theory on the quadric submanifold of CP(3|3) X CP(3|3). We reformulate the twistor equations in six dimension, where the superconformal symmetry is manifest, and find a connection to complexified AdS5.