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arXiv · 1305.4870

Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space

Christian Saemann·Martin Wolf
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Abstract

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. This enables us to formulate the non-Abelian differential cohomology that describes principal 3-bundles with connective structures.

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Christian Saemann, Martin Wolf. 2014-07-09. Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space. https://doi.org/10.1007/s11005-014-0704-3

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