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arXiv · 0902.0948

Branes, Instantons, And Taub-NUT Spaces

Edward Witten
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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.

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Edward Witten. 2009-06-06. Branes, Instantons, And Taub-NUT Spaces. https://doi.org/10.1088/1126-6708%2F2009%2F06%2F067

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