On Twistors and Conformal Field Theories from Six Dimensions

Understand

We discuss chiral zero-rest-mass field equations on six-dimensional space-time from a twistorial point of view.

• Specifically, we present a detailed cohomological analysis, develop both Penrose and Penrose-Ward transforms, and analyse the corresponding contour integral formulae.
• We also give twistor space action principles.
• We then dimensionally reduce the twistor space of six-dimensional space-time to obtain twistor formulations of various theories in lower dimensions.