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Nahm's equations and root systems

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Czechoslovak Journal of Physics Aims and scope

Abstract

A method of deriving solutions to Nahm's equations based on root structure of simple Lie algebras is given. As an illustration of this method the recently found solutions to Nahm's equations with tetrahedral and octahedral symmetries are shown to correspond to A 2 and A 3 root systems.

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Authors and Affiliations

  1. Department of Applied Mathematics & Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW

    Tomasz Brzeziński & Houari Merabet

  2. Department of Theoretical Physics, University of Łódź, Pomorska 149/153, 90-236, Łódź, Poland

    Tomasz Brzeziński

Authors
  1. Tomasz Brzeziński
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  2. Houari Merabet
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Brzeziński, T., Merabet, H. Nahm's equations and root systems. Czechoslovak Journal of Physics 47, 1101–1106 (1997). https://doi.org/10.1023/A:1021649915250

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  • DOI: https://doi.org/10.1023/A:1021649915250

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