Critical points of master functions and the mKdV hierarchy of type A^2_2

Abstract

We consider the population of critical points generated from the critical point of the master function with no variables, which is associated with the trivial representation of the affine Lie algebra $A^2_2$. We describe how the critical points of this population define rational solutions of the equations of the mKdV hierarchy associated with $A^2_2$.

Latex, 22 pages, misprints corrected. arXiv admin note: text overlap with arXiv:1207.2274