Singular phases of SeibergWitten integrable systems: weak and strong coupling
Abstract
We consider the singular phases of the smooth finitegap integrable systems arising in the context of SeibergWitten theory. These degenerate limits correspond to the weak and strong coupling regimes of SUSY gauge theories. The spectral curves in such limits acquire simpler forms: in most cases they become rational, and the corresponding expressions for coupling constants and superpotentials can be computed explicitly. We verify that in accordance with the computations from quantum field theory, the weakcoupling limit gives rise to precisely the "trigonometric" family of CalogeroMoser and open Toda models, while the strongcoupling limit corresponds to the solitonic degenerations of the finitegap solutions. The formulae arising provide some new insights into the corresponding phenomena in SUSY gauge theories. Some open conjectures have been proven.
 Publication:

Nuclear Physics B
 Pub Date:
 February 2001
 DOI:
 10.1016/S05503213(00)006830
 arXiv:
 arXiv:hepth/0009060
 Bibcode:
 2001NuPhB.595..417B
 Keywords:

 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 34 Pages, LaTeX, some typos and reference added