English

Nahm's equations and root systems

High Energy Physics - Theory 2009-10-30 v1 Exactly Solvable and Integrable Systems solv-int

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 A2A_2 and A3A_3 root systems.

Cite

@article{arxiv.hep-th/9709070,
  title  = {Nahm's equations and root systems},
  author = {Tomasz Brzezinski and Houari Merabet},
  journal= {arXiv preprint arXiv:hep-th/9709070},
  year   = {2009}
}

Comments

6 pages, LaTex