Noncommutative deformation of instantons

Yoshiaki Maeda; Akifumi Sako

doi:10.1016/j.geomphys.2008.08.006

Noncommutative deformation of instantons

Yoshiaki Maeda, Akifumi Sako

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

6 Citations (Scopus)

Abstract

We study instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R⁴ is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T⁴ with twisted boundary conditions.

Original language	English
Pages (from-to)	1784-1791
Number of pages	8
Journal	Journal of Geometry and Physics
Volume	58
Issue number	12
DOIs	https://doi.org/10.1016/j.geomphys.2008.08.006
Publication status	Published - 2008 Dec

Keywords

Instanton
Noncommutative geometry
Yang-Mills theory

ASJC Scopus subject areas

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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10.1016/j.geomphys.2008.08.006

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title = "Noncommutative deformation of instantons",

abstract = "We study instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R4 is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T4 with twisted boundary conditions.",

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author = "Yoshiaki Maeda and Akifumi Sako",

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AU - Sako, Akifumi

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AB - We study instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R4 is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T4 with twisted boundary conditions.

KW - Instanton

KW - Noncommutative geometry

KW - Yang-Mills theory

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