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

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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.

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Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, 117259, Moscow, Russia, , , , , , RU

    Nikita Nekrasov

  2. Department of Mathematics, UCDavis, Davis, CA 95616, USA. E-mail: schwarz@math.ucdavis.edu, , , , , , US

    Albert Schwarz

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  1. Nikita Nekrasov
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  2. Albert Schwarz
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Received: 19 March 1998 / Accepted: 14 April 1998}

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Nekrasov, N., Schwarz, A. Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory. Comm Math Phys 198, 689–703 (1998). https://doi.org/10.1007/s002200050490

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  • DOI: https://doi.org/10.1007/s002200050490

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