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

Sämann, C and Wolf, Martin (2014) Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space Letters in Mathematical Physics, 104 (9). pp. 1147-1188.

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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. We thus arrive at the non-Abelian differential cohomology that describes principal 3-bundles with connective structure. © 2014 Springer Science+Business Media Dordrecht.

Item Type:	Article
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Name Email ORCID Sämann, C Wolf, Martin m.wolf@surrey.ac.uk
Date :	1 January 2014
DOI :	10.1007/s11005-014-0704-3
Depositing User :	Symplectic Elements
Date Deposited :	28 Mar 2017 15:53
Last Modified :	11 Jun 2019 11:19
URI:	http://epubs.surrey.ac.uk/id/eprint/807815

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