Noncommutative Instantons in 4k Dimensions

Details Noncommutative Instantons in 4k Dimensions Noncommutative Instantons in 4k Dimensions

2005-02-13

arxiv.org/abs/hep-th/0502117v1

Phys.Lett. B612 (2005) 65-74

Physics

High Energy Physics

High Energy Physics - Theory

1+10 pages

Scientific paper

10.1016/j.physletb.2005.02.054

We consider Ward's generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which generalize the 't Hooft and BPST instantons from R^4 to noncommutative R^{4k}. The BPST-type configurations appear to be new even in the commutative case.

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