120 citations · 682 across the 30 of their papers we have counts for
30 papers
Differential equations for the closed geometric crystal chains
Taichiro Takagi
We present two types of systems of differential equations that can be derived from a set of discrete integrable systems which we call the closed geometric crystal chains. One is a…
Geometric lifting of the integrable cellular automata with periodic boundary conditions
Taichiro Takagi, Takuma Yoshikawa
Inspired by G. Frieden's recent work on the geometric R-matrix for affine type A crystal associated with rectangular shaped Young tableaux, we propose a method to construct a novel…
A new generalized Wick theorem in conformal field theory
Taichiro Takagi
A new generalized Wick theorem for interacting fields in 2D conformal field theory is described. We briefly discuss its relation to the Borcherds identity and its derivation by an…
Generalized Wick theorems in conformal field theory and the Borcherds identity
Taichiro Takagi, Takuma Yoshikawa
As a counterpart of the well-known generalized Wick theorem by Bais et. al. in 1988 for interacting fields in two dimensional conformal field theory, we present a new contour integ…
Combinatorial aspects of the conserved quantities of the tropical periodic Toda lattice
Taichiro Takagi
The tropical periodic Toda lattice (trop p-Toda) is a dynamical system attracting attentions in the area of the interplay of integrable systems and tropical geometry. We show that…
Commuting Time Evolutions in the Tropical Periodic Toda Lattice
Taichiro Takagi
The tropical (ultradiscrete) periodic Toda lattice is a dynamical system derived from a time-discretized version of the periodic Toda lattice through a limiting procedure called tr…