Add to ORKGWe study certain symmetric polynomials, which as very special cases include polynomials related to the supersymmetric eight-vertex model, and other elliptic lattice models. In this paper, which is the first part of a series, we study the behaviour of the polynomials at special parameter values, which can be identified with cusps of the modular group Gamma_0(12). In subsequent papers, we will show that the polynomials satisfy a non-stationary Schr\uf6dinger equation related to the Inozemtsev model and that they give a four-dimensional lattice of tau functions of Painlev\ue9 VI
The general eight-vertex model on a square lattice is studied numerically by using the Corner Transf...
We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator supera...
There exists a sequence of orthogonal polynomials with many interesting properties from the standpoi...
We introduce and study symmetric polynomials, which as very special cases include polynomials relate...
We show that symmetric polynomials previously introduced by the author satisfy a certain differentia...
We show that symmetric polynomials previously introduced by the author satisfy a certain differentia...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
AbstractIn this report, we present a systematic account of mathematical structures of certain specia...
By specializing the parameters in the partition function of the 8VSOS model with domain wall boundar...
In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation w...
The elliptic parametrization of the symmetric eight-vertex model and its generalizations (sixteen-ve...
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topic...
We consider a fully inhomogeneous stochastic higher spin six vertex model in a quadrant. For this mo...
We study the ground state eigenvalues of Baxter's Q-operator for the eight-vertex model in a special...
The general eight-vertex model on a square lattice is studied numerically by using the Corner Transf...
We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator supera...
There exists a sequence of orthogonal polynomials with many interesting properties from the standpoi...
We introduce and study symmetric polynomials, which as very special cases include polynomials relate...
We show that symmetric polynomials previously introduced by the author satisfy a certain differentia...
We show that symmetric polynomials previously introduced by the author satisfy a certain differentia...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
AbstractIn this report, we present a systematic account of mathematical structures of certain specia...
By specializing the parameters in the partition function of the 8VSOS model with domain wall boundar...
In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation w...
The elliptic parametrization of the symmetric eight-vertex model and its generalizations (sixteen-ve...
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topic...
We consider a fully inhomogeneous stochastic higher spin six vertex model in a quadrant. For this mo...
We study the ground state eigenvalues of Baxter's Q-operator for the eight-vertex model in a special...
The general eight-vertex model on a square lattice is studied numerically by using the Corner Transf...
We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator supera...
There exists a sequence of orthogonal polynomials with many interesting properties from the standpoi...