Critical points of master functions and the mKdV hierarchy of type A²₂

2013/05/24 by Alexander Varchenko, Varchenko, A., Tyler Woodruff +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1305.5603

openalex publication_date 2013/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 A²₂. We describe how the critical points of this population define rational solutions of the equations of the mKdV hierarchy associated with A²₂.

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