Communications in Mathematical Physics

, Volume 198, Issue 3, pp 689–703

Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory


  • Nikita Nekrasov
    • Institute of Theoretical and Experimental Physics, 117259, Moscow, Russia
  • Albert Schwarz
    • Department of Mathematics, UCDavis, Davis, CA 95616, USA. E-mail:

DOI: 10.1007/s002200050490

Cite this article as:
Nekrasov, N. & Schwarz, A. Comm Math Phys (1998) 198: 689. doi:10.1007/s002200050490


We show that the resolution of moduli space of ideal instantons parameterizes the instantons on noncommutative ℝ4. This moduli space appears to be the Higgs branch of the theory of kD0-branes bound to ND4-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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© Springer-Verlag Berlin Heidelberg 1998