English

One-parameter family of selfdual solutions in classical Yang-Mills theory

High Energy Physics - Theory 2016-09-06 v1

Abstract

The ADHM construction, which yields (anti-)selfdual configurations in classical Yang-Mills theories, is applied to an infinite dimensional l^2 vector space, and as a consequence, a family of (anti-)selfdual configurations with a parameter q is obtained for SU(2) Yang-Mills theory. This l^2 formulation can be seen as a q-analog of Nahm's monopole construction, so that the configuration approaches the BPS monopole at q->1 limit.

Keywords

Cite

@article{arxiv.hep-th/9907153,
  title  = {One-parameter family of selfdual solutions in classical Yang-Mills theory},
  author = {Masaru Kamata and Atsushi Nakamula},
  journal= {arXiv preprint arXiv:hep-th/9907153},
  year   = {2016}
}

Comments

11 pages, Latex, no figures