Noncommutative Instantons in 4k Dimensions
Abstract
We consider Ward's generalized self-duality equations for U(2r) Yang-Mills theory on R4k 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 R4 to noncommutative R4k. The BPST-type configurations appear to be new even in the commutative case.
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