Noncommutative Moduli for Multi-Instantons

Details Noncommutative Moduli for Multi-Instantons Noncommutative Moduli for Multi-Instantons

2004-04-19

arxiv.org/abs/hep-th/0404127v2

Mod.Phys.Lett. A19 (2004) 2419-2430

Physics

High Energy Physics

High Energy Physics - Theory

1+9 pages; v2: reference added, published version

Scientific paper

10.1142/S0217732304015464

There exists a recursive algorithm for constructing BPST-type multi-instantons on commutative R^4. When deformed noncommutatively, however, it becomes difficult to write down non-singular instanton configurations with topological charge greater than one in explicit form. We circumvent this difficulty by allowing for the translational instanton moduli to become noncommutative as well. This makes possible the ADHM construction of 't Hooft multi-instanton solutions with everywhere self-dual field strengths on noncommutative R^4.

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