Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space
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.
Keywords
Cite
@article{arxiv.1305.4870,
title = {Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space},
author = {Christian Saemann and Martin Wolf},
journal= {arXiv preprint arXiv:1305.4870},
year = {2014}
}
Comments
v3: 45 pages, improved presentation, published version