Communications in Mathematical Physics

, Volume 198, Issue 3, pp 689-703

First online:

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

  • Nikita NekrasovAffiliated withInstitute of Theoretical and Experimental Physics, 117259, Moscow, Russia
  • , Albert SchwarzAffiliated withDepartment of Mathematics, UCDavis, Davis, CA 95616, USA. E-mail:

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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 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.