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

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.

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

References in corpus (5)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• Quiver Gauge Theory and Noncommutative Vortices
• SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices

Cited by in corpus (7)

• Instantons and Killing spinors
• Instantons on Special Holonomy Manifolds
• Integrable vortex-type equations on the two-sphere
• Contact Manifolds, Contact Instantons, and Twistor Geometry
• Sigma-model limit of Yang-Mills instantons in higher dimensions
• Instantons on conical half-flat 6-manifolds
• Instantons on Calabi-Yau and hyper-Kähler cones