English

Branes, Instantons, And Taub-NUT Spaces

High Energy Physics - Theory 2010-04-07 v2

Abstract

ALE and Taub-NUT (or ALF) hyper-Kahler four-manifolds can be naturally constructed as hyper-Kahler quotients. In the ALE case, this construction has long been understood in terms of D-branes; here we give a D-brane derivation in the Taub-NUT case. Likewise, instantons on ALE spaces and on Taub-NUT spaces have ADHM-like constructions related to hyper-Kahler quotients. Here we refine the analysis in the Taub-NUT case by making use of a D-brane probe, and give an application to M-theory.

Cite

@article{arxiv.0902.0948,
  title  = {Branes, Instantons, And Taub-NUT Spaces},
  author = {Edward Witten},
  journal= {arXiv preprint arXiv:0902.0948},
  year   = {2010}
}

Comments

63 pp

R2 v1 2026-06-21T12:08:21.071Z