English

A Compact Expression for Periodic Instantons

Differential Geometry 2016-11-23 v2 High Energy Physics - Theory

Abstract

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.

Cite

@article{arxiv.1509.00056,
  title  = {A Compact Expression for Periodic Instantons},
  author = {Sergey A. Cherkis and Clare O'Hara and Dmitri Zaitsev},
  journal= {arXiv preprint arXiv:1509.00056},
  year   = {2016}
}

Comments

AMS-LaTeX, 19 pages

R2 v1 2026-06-22T10:45:47.641Z