A compact expression for periodic instantons

JOURNAL OF GEOMETRY AND PHYSICS

卷:110

Article

Cherkis, Sergey A.¹  O'Hara, Clare²  Zaitsev, Dmitri² 

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[2] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland

关键词: Instanton;    Self-dual Yang-Mills;    ADHM construction;    Nahm transform;   

DOI  :  10.1016/j.geomphys.2016.09.008

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free