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Nahm's equations and root systems

Tomasz Brzezinski, Houari Merabet

hep-tharXiv:hep-th/9709070

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 A2 and A3 root systems.

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