The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices
arXiv:math-ph/0703087 · doi:10.1088/1742-5468/2007/08/P08012
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.
25 pages