467 citations · 2k across the 86 of their papers we have counts for
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-analogue of modified KP hierarchy and its quasi-classical limit
Kanehisa Takasaki
A -analogue of the tau function of the modified KP hierarchy is defined by a change of independent variables. This tau function satisfies a system of bilinear -difference equ…
Free Fermion and Seiberg-Witten Differential in Random Plane Partitions
Takashi Maeda, Toshio Nakatsu, Kanehisa Takasaki +1
A model of random plane partitions which describes five-dimensional supersymmetric SU(N) Yang-Mills is studied. We compute the wave functions of fermions in this st…
Five-Dimensional Supersymmetric Yang-Mills Theories and Random Plane Partitions
Takashi Maeda, Toshio Nakatsu, Kanehisa Takasaki +1
Five-dimensional supersymmetric Yang-Mills theories are investigated from the viewpoint of random plane partitions. It is shown that random plane partitions are fac…
Landau-Lifshitz hierarchy and infinite dimensional Grassmann variety
Kanehisa Takasaki
The Landau-Lifshitz equation is an example of soliton equations with a zero-curvature representation defined on an elliptic curve. This equation can be embedded into an integrable…