English

Fractional instantons in supersymmetric gauge theories

High Energy Physics - Theory 2007-05-23 v3

Abstract

We consider evidence for the existence of gauge configurations with fractional charge in pure N=1 supersymmetric Yang-Mills theory . We argue that these field configurations are singular and have to be treated as distributions. It is shown that the path integral representation of constant Green's functions can be reduced to a finite dimensional integral. The fractional configurations are essentially the zero size limit of the usual instantons and they have a reduced number of fermionic zero modes. At the end we comment on the status of the D-instanton/YM-instanton correspondence within AdS/CFT correspondence.

Keywords

Cite

@article{arxiv.hep-th/9807120,
  title  = {Fractional instantons in supersymmetric gauge theories},
  author = {Maxim Zabzine},
  journal= {arXiv preprint arXiv:hep-th/9807120},
  year   = {2007}
}

Comments

12 pages, Latex; references and comments added, some arguments improved