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

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

2003-05-22

arxiv.org/abs/hep-th/0305195v2

Phys.Lett. B567 (2003) 107-115

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(03)00868-2

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}_\theta. For a special S^2-radius R depending on the noncommutativity \theta we find explicit solutions in terms of shift operators. These vortex-like configurations on R^{2n}_\theta determine SO(3)-invariant multi-instantons on R^{2n}_\theta x S^2_R for R=R(\theta). 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.

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