467 citations · 2k across the 86 of their papers we have counts for
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Loewner equations, Hirota equations and reductions of universal Whitham hierarchy
Kanehisa Takasaki, Takashi Takebe
This paper reconsiders finite variable reductions of the universal Whitham hierarchy of genus zero in the perspective of dispersionless Hirota equations. In the case of one-variabl…
Integrable structure of melting crystal model with external potentials
Toshio Nakatsu, Kanehisa Takasaki
This is a review of the authors' recent results on an integrable structure of the melting crystal model with external potentials. The partition function of this model is a sum over…
Extended Seiberg-Witten Theory and Melting Crystal
Toshio Nakatsu, Yui Noma, Kanehisa Takasaki
We study an extension of the Seiberg-Witten theory of supersymmetric Yang-Mills on . We investigate correlation functions among loop o…
Integrable Structure of Supersymmetric Yang-Mills and Melting Crystal
Toshio Nakatsu, Yui Noma, Kanehisa Takasaki
We study loop operators of SYM in background. For the case of U(1) theory, the generating function of correlation functions of the loop operators reproduce…