60 citations · 145 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
Melting Crystal, Quantum Torus and Toda Hierarchy
Toshio Nakatsu, Kanehisa Takasaki
Searching for the integrable structures of supersymmetric gauge theories and topological strings, we study melting crystal, which is known as random plane partition, from the viewp…
Explicit solutions of the classical Calogero & Sutherland systems for any root system
R. Sasaki, K. Takasaki
Explicit solutions of the classical Calogero (rational with/without harmonic confining potential) and Sutherland (trigonometric potential) systems is obtained by diagonalisation of…
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…
Gaudin Model, KZ Equation, and Isomonodromic Problem on Torus
Kanehisa Takasaki
This paper presents a construction of isospectral problems on the torus. The construction starts from an SU(n) version of the XYZ Gaudin model recently studied by Kuroki and Takebe…