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Special polynomials related to the supersymmetric eight-vertex model. I. Behaviour at cusps

Hjalmar Rosengren (Institutionen för matematiska vetenskaper, matematik)

We 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 Schrödinger equation related to the Inozemtsev model and that they give a four-dimensional lattice of tau functions of Painlevé VI.

Denna post skapades 2013-12-12. Senast ändrad 2014-09-29.
CPL Pubid: 188993


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)



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