Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure
High Energy Physics - Theory
2012-02-28 v2
Abstract
The SU(4)-instanton equations are natural BPS equations for instantons on 8-manifolds. We study these equations on nearly Kaehler and Calabi-Yau torsion manifolds of the form M x G/H, with G/H a coset space and M a product of a torus with Euclidean space. By imposing G-invariance the instanton equations reduce to interesting equations on M; for example, equations used by Kapustin and Witten in the geometric Langlands program arise in this way. We carry out reductions in a number of examples, and where possible present simple solutions.
Cite
@article{arxiv.1005.2837,
title = {Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure},
author = {Derek Harland and Alexander D. Popov},
journal= {arXiv preprint arXiv:1005.2837},
year = {2012}
}
Comments
28+1 pages, 1 figure. v2 (published version) minor corrections to formulae and text