A compact expression for periodic instantons

A compact expression for periodic instantons

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...

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Bibliographic Details
Main Authors: Cherkis, Sergey A., O’Hara, Clare, Zaitsev, Dmitri
Other Authors: Department of Mathematics, The University of Arizona
Language:en
Published: ELSEVIER SCIENCE BV 2016
Subjects:
Instanton
Self-dual Yang-Mills
ADHM construction
Nahm transform
Online Access:http://hdl.handle.net/10150/622368
http://arizona.openrepository.com/arizona/handle/10150/622368
Description
Summary: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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