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The Universal Connection and Metrics on Moduli Spaces

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Abstract

We introduce a class of metrics on gauge theoretic moduli spaces. These metrics are made out of the universal matrix that appears in the universal connection construction of M.S. Narasimhan and S. Ramanan. As an example we construct metrics on the c 2 =1 SU(2) moduli space of instantons on ℝ4 for various universal matrices.

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Authors and Affiliations

  1. The Abdus Salam ICTP, 586, 34100, Trieste, Italy

    Fortuné Massamba & George Thompson

  2. I.M.S.P., B.P. 613, Porto-Novo, Bénin

    Fortuné Massamba

Authors
  1. Fortuné Massamba
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  2. George Thompson
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Correspondence to George Thompson.

Additional information

Communicated by M.R. Douglas

Acknowledgement It is a pleasure to thank M. Blau, K. Narain, M.S. Narasimhan and T. Ramadas for many useful discussions. F. Massamba would like to thank the Abdus Salam ICTP for a fellowship. This research was supported in part by EEC contract HPRN-CT-2000-00148.

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Massamba, F., Thompson, G. The Universal Connection and Metrics on Moduli Spaces. Commun. Math. Phys. 253, 323–335 (2005). https://doi.org/10.1007/s00220-004-1191-7

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  • DOI: https://doi.org/10.1007/s00220-004-1191-7

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