2009/02/28 by Edward Witten · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/06/067
published as JHEP 0906:067,2009 · 63 pp
arxiv created 2009/06/06 · openalex publication_date 2009/06/22 · arxiv updated 2010/04/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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.