1005.2837 (Derek Harland et al.)

Yang-Mills fields in flux compactifications on homogeneous manifolds
with SU(4)-structure    [PDF]

Derek Harland, Alexander D. Popov

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.

View original: http://arxiv.org/abs/1005.2837