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arXiv · 1009.3208

Double quiver gauge theory and nearly Kahler flux compactifications

Alexander D. Popov·Richard J. Szabo
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Abstract

We consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds of the form MxG/H where M is a smooth manifold, and G/H is a compact six-dimensional homogeneous space provided with a never integrable almost complex structure and a family of SU(3)-structures which includes a nearly Kahler structure. We establish an equivalence between G-equivariant pseudo-holomorphic vector bundles on MxG/H and new quiver bundles on M associated to the double of a quiver Q, determined by the SU(3)-structure, with relations ensuring the absence of oriented cycles in Q. When M=R^2, we describe an equivalence between G-invariant solutions of Spin(7)-instanton equations on MxG/H and solutions of new quiver vortex equations on M. It is shown that generic invariant Spin(7)-instanton configurations correspond to quivers Q that contain non-trivial oriented cycles.

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Alexander D. Popov, Richard J. Szabo. 2010-09-16. Double quiver gauge theory and nearly Kahler flux compactifications. https://doi.org/10.1007/jhep02(2012)033

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