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arXiv · 1509.00056

A Compact Expression for Periodic Instantons

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

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Sergey A. Cherkis, Clare O'Hara, Dmitri Zaitsev. 2015-08-31. A Compact Expression for Periodic Instantons. https://doi.org/10.1016/j.geomphys.2016.09.008

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