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Elongated U(1) Instantons on Noncommutative R^4

High Energy Physics - Theory 2010-02-03 v3 Mathematical Physics Algebraic Geometry math.MP

Abstract

We found an exact solution of elongated U(1) instanton on noncommutative R^4 for general instanton number k. The deformed ADHM equation was solved with general k and the gauge connection and the curvature were given explicitly. We also checked our solutions and evaluated the instanton charge by a numerical calculation.

Keywords

Cite

@article{arxiv.hep-th/0109111,
  title  = {Elongated U(1) Instantons on Noncommutative R^4},
  author = {Tomomi Ishikawa and Shin-Ichiro Kuroki and Akifumi Sako},
  journal= {arXiv preprint arXiv:hep-th/0109111},
  year   = {2010}
}

Comments

16 pages, 8 figures, JHEP macros, some changes in the text, some typos corrected

R2 v1 2026-07-22T15:06:30.875Z