Double quiver gauge theory and nearly Kahler flux compactifications

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.

42 pages; v2: minor corrections; Final version to be published in JHEP

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Cited by in corpus (24)

• Bundles over Nearly-Kahler Homogeneous Spaces in Heterotic String Theory
• Instantons on Special Holonomy Manifolds
• Integrable vortex-type equations on the two-sphere
• Connections on non-symmetric (generalized) Riemannian manifold and gravity
• Contact Manifolds, Contact Instantons, and Twistor Geometry
• Chern-Simons flows on Aloff-Wallach spaces and Spin(7)-instantons
• Deformations of nearly Kähler instantons
• Sigma-model limit of Yang-Mills instantons in higher dimensions
• Covariant Quiver Gauge Theories
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Geometry and Energy of Non-abelian Vortices
• Noncommutative Instantons in Diverse Dimensions
• Sasakian quiver gauge theories and instantons on cones over lens 5-spaces
• Sasakian quiver gauge theories and instantons on the conifold
• Instantons on Calabi-Yau cones
• Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
• Non-symmetric Riemannian gravity and Sasaki-Einstein 5-manifolds
• Instantons in six dimensions and twistors
• Instantons on the six-sphere and twistors
• Sasakian quiver gauge theory on the Aloff-Wallach space $X_{1,1}$
• Solitons and Yukawa Couplings in Nearly Kahler Flux Compactifications
• A ladder of topologically non-trivial non-BPS states
• Non-commutativity in Unified Theories and Gravity
• Towards realistic models from Higher-Dimensional theories with Fuzzy extra dimensions