Seiberg-Witten Theory and Integrable Systems
High Energy Physics - Theory
2007-05-23 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
We summarize recent results on the resolution of two intimately related problems, one physical, the other mathematical. The first deals with the resolution of the non-perturbative low energy dynamics of certain N=2 supersymmetric Yang-Mills theories. We concentrate on the theories with one massive hypermultiplet in the adjoint representation of an arbitrary gauge algebra G. The second deals with the construction of Lax pairs with spectral parameter for certain classical mechanics Calogero-Moser integrable systems associated with an arbitrary Lie algebra G. We review the solution to both of these problems as well as their interrelation.
Cite
@article{arxiv.hep-th/9903068,
title = {Seiberg-Witten Theory and Integrable Systems},
author = {E. D'Hoker and D. H. Phong},
journal= {arXiv preprint arXiv:hep-th/9903068},
year = {2007}
}
Comments
30 pages, Based on Lectures delivered at Edinburgh and Kyoto