Instantons on noncommutative ℝ4, and (2, 0) superconformal six dimensional theory

Nikita Nekrasov; Albert Schwarz

doi:10.1007/s002200050490

Instantons on noncommutative ℝ⁴, and (2, 0) superconformal six dimensional theory

Nikita Nekrasov
, Albert Schwarz

Simons Center for Geometry & Physics

University of California at Davis

Research output: Contribution to journal › Article › peer-review

448 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	689-703
Number of pages	15
Journal	Communications in Mathematical Physics
Volume	198
Issue number	3
DOIs	https://doi.org/10.1007/s002200050490
State	Published - 1998

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title = "Instantons on noncommutative ℝ4, and (2, 0) superconformal six dimensional theory",

abstract = "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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AU - Nekrasov, Nikita

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AB - 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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U2 - 10.1007/s002200050490

DO - 10.1007/s002200050490

M3 - Article

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VL - 198

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EP - 703

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

Instantons on noncommutative ℝ⁴, and (2, 0) superconformal six dimensional theory

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