Frontiers of Mathematics in China

, Volume 8, Issue 5, pp 1031–1046

Exact construction of noncommutative instantons

Research Article

DOI: 10.1007/s11464-013-0281-2

Cite this article as:
Hamanaka, M. & Nakatsu, T. Front. Math. China (2013) 8: 1031. doi:10.1007/s11464-013-0281-2
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Abstract

We discuss the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction of U(N) instantons in noncommutative (NC) space and give some exact instanton solutions for various noncommutative settings. We also present a new formula which is crucial to show an origin of the instanton number for U(1) and to prove the one-to-one correspondence between moduli spaces of the noncommutative instantons and the ADHM data.

Keywords

Instantons noncommutative geometry 

MSC

81T13 81T75 

Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of MathematicsNagoya UniversityNagoyaJapan
  2. 2.Institute for Fundamental SciencesSetsunan UniversityNeyagawa, OsakaJapan

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