A compact expression for periodic instantons

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

doi:10.1016/j.geomphys.2016.09.008

A compact expression for periodic instantons

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	382-392
Number of pages	11
Journal	Journal of Geometry and Physics
Volume	110
DOIs	https://doi.org/10.1016/j.geomphys.2016.09.008
State	Published - Dec 1 2016

Keywords

ADHM construction
Instanton
Nahm transform
Self-dual Yang–Mills

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/j.geomphys.2016.09.008

Cite this

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AU - Zaitsev, Dmitri

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N2 - 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.

AB - 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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KW - Instanton

KW - Nahm transform

KW - Self-dual Yang–Mills

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A compact expression for periodic instantons

Abstract

Keywords

ASJC Scopus subject areas

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