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

A. Varchenko, T. Woodruff, D. Wright

Published 2013-05-24, updated 2017-02-20Version 2

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 $A^2_2$.