• DOI:10.1063/1.4769410
• Corpus ID: 102341650

On Twistors and Conformal Field Theories from Six Dimensions

@article{Saemann2011OnTA,
  title={On Twistors and Conformal Field Theories from Six Dimensions},
  author={Christian Saemann and Martin Wolf},
  journal={arXiv: High Energy Physics - Theory},
  year={2011}
}

• Christian Saemann, Martin Wolf
• Published 10 November 2011
• Mathematics
• arXiv: High Energy Physics - Theory

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. Besides well-known twistor spaces, we also find a novel twistor space amongst these reductions, which turns out to be suitable for a twistorial description of self-dual strings. For these reduced twistor spaces, we explain the Penrose and Penrose-Ward transforms as well as contour integral formulae.