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arXiv · 1005.2837

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

Derek Harland·Alexander D. Popov
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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.

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Derek Harland, Alexander D. Popov. 2010-05-17. Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure. https://doi.org/10.1007/jhep02(2012)107

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