The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices

Details The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices

2007-03-29

arxiv.org/abs/math-ph/0703087v1

Physics

Mathematical Physics

25 pages

Scientific paper

10.1088/1742-5468/2007/08/P08012

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.

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