A Six Dimensional View on Twistors

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.

15 pages, 3 figures

References in corpus (6)

• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• N=2 strings and the twistorial Calabi-Yau
• Mirror Symmetry and Supermanifolds
• Untwisting the twistor superstring
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model
• On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory

Cited by in corpus (13)

• The Topological B-model on a Mini-Supertwistor Space and Supersymmetric Bogomolny Monopole Equations
• Superembedding methods for 4d N=1 SCFTs
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• Massless and Massive Three Dimensional Super Yang-Mills Theory and Mini-Twistor String Theory
• Twistor methods for AdS${}_5$
• Orbifolding the Twistor String
• The Topological B-Model on Fattened Complex Manifolds and Subsectors of N=4 Self-Dual Yang-Mills Theory
• Ricci-flat supertwistor spaces
• Gauged Linear Sigma Model on Supermanifold
• Yang-Mills gravity in biconformal space
• Manifest superconformal covariance in six-dimensional (2,0) theory
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds
• Superconformal Theories in Six Dimensions