On twistors and conformal field theories from six dimensions

Christian Saemann, Martin Wolf

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

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.
Original languageEnglish
JournalJournal of Mathematical Physics
Volume54
Issue number1
DOIs
Publication statusPublished - Jan 2013

Keywords

  • hep-th
  • math-ph
  • math.MP

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