Remarks on the moduli space of SU(2) monopoles and Toda flow (Q756804)

Rational functions of degree k which parametrize the moduli space of SU(2) k-monopoles are regarded as transfer functions for certain linear dynamical systems. It is proved that a time shift for linear systems induces a finite nonperiodic complex \(k\times k\) Toda flow on the parameter space of generic SU(2) k-monopoles. Thus, existence of an integrable flow of the Toda type over the moduli space of SU(2) k- monopoles.