Non-Abelian Tensor Multiplet Equations from Twistor Space
High Energy Physics - Theory
2014-05-14 v3 Mathematical Physics
Differential Geometry
math.MP
Abstract
We establish a Penrose-Ward transform yielding a bijection between holomorphic principal 2-bundles over a twistor space and non-Abelian self-dual tensor fields on six-dimensional flat space-time. Extending the twistor space to supertwistor space, we derive sets of manifestly N=(1,0) and N=(2,0) supersymmetric non-Abelian constraint equations containing the tensor multiplet. We also demonstrate how this construction leads to constraint equations for non-Abelian supersymmetric self-dual strings.
Cite
@article{arxiv.1205.3108,
title = {Non-Abelian Tensor Multiplet Equations from Twistor Space},
author = {Christian Saemann and Martin Wolf},
journal= {arXiv preprint arXiv:1205.3108},
year = {2014}
}
Comments
v3: 23 pages, revised version published in Commun. Math. Phys