Noncommutative Multi-Instantons on R^{2n} x S^2

Abstract

Generalizing self-duality on R^2 x S^2 to higher dimensions, we consider the Donaldson-Uhlenbeck-Yau equations on R^{2n} x S^2 and their noncommutative deformation for the gauge group U(2). Imposing SO(3) invariance (up to gauge transformations) reduces these equations to vortex-type equations for an abelian gauge field and a complex scalar on R^{2n}_θ. For a special S^2-radius R depending on the noncommutativity θwe find explicit solutions in terms of shift operators. These vortex-like configurations on R^{2n}_θdetermine SO(3)-invariant multi-instantons on R^{2n}_θx S^2_R for R=R(θ). The latter may be interpreted as sub-branes of codimension 2n inside a coincident pair of noncommutative Dp-branes with an S^2 factor of suitable size.

1+8 pages, v2: reference added, version published in PLB

References in corpus (2)

• Noncommutative Instantons via Dressing and Splitting Approaches
• Some Noncommutative Multi-instantons from Vortices in Curved Space

Cited by in corpus (13)

• Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• Instantons and Yang-Mills Flows on Coset Spaces
• Yang-Mills Instantons and Dyons on Group Manifolds
• Three lectures on noncommutative field theories
• Construction of Noncommutative Instantons in 4k Dimensions
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• Mirror Symmetry in Emergent Gravity
• Noncommutative Instantons and Solitons
• Noncommutative Instantons in 4k Dimensions
• Noncommutative Instantons on CP^n
• Classification of BPS equations in higher dimensions