Instantons on Noncommutative ℝ 4 , and (2,0) Superconformal Six Dimensional Theory

1998/02/28 by Nikita Nekrasov, N. Nekrasov, Albert Schwarz +1 · 13 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1007/s002200050490

published as Commun.Math.Phys. 198 (1998) 689-703 · harvmac, 21 page; refs added, more details on Nahm's transform, formulae for abelian instantons corrected

arxiv created 1998/03/10 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/03

Abstract

We show that the resolution of moduli space of ideal instantons parameterizes the instantons on non-commutative \IR⁴. This moduli space appears as a Higgs branch of the theory of k D0-branes bound to N D4-branes by the expectation value of the B field. It also appears as a regularized version of the target space of supersymmetric quantum mechanics arising in the light cone description of (2,0) superconformal theories in six dimensions.

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• Localization on the D-brane, two-dimensional gauge theory and matrix models
• New BPS solitons in 2+1 dimensional noncommutativeCP1model
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