A compact expression for periodic instantons

Sergey A. Cherkis, Clare O'Hara, Dmitri Zaitsev

Research output: Contribution to journalArticlepeer-review


Instantons on various spaces can be constructed via a generalization of the Fourier transform called the ADHM-Nahm transform. An explicit use of this construction, however, involves rather tedious calculations. Here we derive a simple formula for instantons on a space with one periodic direction. It simplifies the ADHM-Nahm machinery and can be generalized to other spaces.

Original languageEnglish (US)
Pages (from-to)382-392
Number of pages11
JournalJournal of Geometry and Physics
StatePublished - Dec 1 2016


  • ADHM construction
  • Instanton
  • Nahm transform
  • Self-dual Yang–Mills

ASJC Scopus subject areas

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


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