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Branes, instantons, and Taub-NUT spaces

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Edward Witten

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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.

Keywords

Intersecting branes models

D-branes

 

E-print Number: 0902.0948

Cited: by |

Refers: to

PACS

11.25.Wx String and brane phenomenology

11.25.Tq Gauge/string duality

11.25.Uv D branes

Subjects

Particle physics and field theory

Dates

Issue 06 (June 2009)

Received 17 May 2009, accepted for publication 9 June 2009

Published 22 June 2009



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