Six-dimensional superconformal field theories from principal 3-bundles over twistor space

Christian Saemann, Martin Wolf*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)
56 Downloads (Pure)


We construct manifestly superconformal field theories in six dimensions which contain a non-Abelian tensor multiplet. In particular, we show how principal 3-bundles over a suitable twistor space encode solutions to these self-dual tensor field theories via a Penrose-Ward transform. The resulting higher or categorified gauge theories significantly generalise those obtained previously from principal 2-bundles in that the so-called Peiffer identity is relaxed in a systematic fashion. This transform also exposes various unexplored structures of higher gauge theories modelled on principal 3-bundles such as the relevant gauge transformations. We thus arrive at the non-Abelian differential cohomology that describes principal 3-bundles with connective structure.

Original languageEnglish
Pages (from-to)1147-1188
Number of pages42
JournalLetters in Mathematical Physics
Issue number9
Early online date29 May 2014
Publication statusPublished - Sept 2014


  • higher gauge theory
  • superconformal field theories
  • twistors

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics


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