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Moduli Spaces of Instantons on the Taub-NUT Space

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Abstract

We present ADHM-Nahm data for instantons on the Taub-NUT space and encode these data in terms of Bow Diagrams. We study the moduli spaces of the instantons and present these spaces as finite hyperkähler quotients. As an example, we find an explicit expression for the metric on the moduli space of one SU(2) instanton.

We motivate our construction by identifying a corresponding string theory brane configuration. By following string theory dualities we are led to supersymmetric gauge theories with impurities.

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Authors and Affiliations

  1. School of Mathematics and Hamilton Mathematics Institute, Trinity College, Dublin, Ireland

    Sergey A. Cherkis

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  1. Sergey A. Cherkis
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Correspondence to Sergey A. Cherkis.

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Communicated by N. A. Nekrasov

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Cherkis, S.A. Moduli Spaces of Instantons on the Taub-NUT Space. Commun. Math. Phys. 290, 719–736 (2009). https://doi.org/10.1007/s00220-009-0863-8

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