A Compact Expression for Periodic Instantons
arXiv:1509.00056 · doi:10.1016/j.geomphys.2016.09.008
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.
AMS-LaTeX, 19 pages