The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices
Mathematical Physics
2009-11-13 v1 Combinatorics
math.MP
Abstract
In this paper we study the Rotor Model of Martins and Nienhuis. After introducing spectral parameters, a combined use of integrability, polynomiality of the ground state wave function and a mapping into the fully-packed O(1)-model allows us to determine the sum rule and a family of maximally nested components for different boundary conditions. We see in this way the appearance of 3-enumerations of Alternating Sign Matrices.
Cite
@article{arxiv.math-ph/0703087,
title = {The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices},
author = {Luigi Cantini},
journal= {arXiv preprint arXiv:math-ph/0703087},
year = {2009}
}
Comments
25 pages