Noncommutative deformation of instantons

Yoshiaki Maeda, Akifumi Sako

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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 languageEnglish
Pages (from-to)1784-1791
Number of pages8
JournalJournal of Geometry and Physics
Issue number12
Publication statusPublished - 2008 Dec
Externally publishedYes


  • Instanton
  • Noncommutative geometry
  • Yang-Mills theory

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology


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