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

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

2010-05-17

arxiv.org/abs/1005.2837v2

JHEP02(2012)107

Physics

High Energy Physics

High Energy Physics - Theory

28+1 pages, 1 figure. v2 (published version) minor corrections to formulae and text

Scientific paper

10.1007/JHEP02(2012)107

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.

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