The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices
نویسنده
چکیده
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. Laboratoire de Physique Théorique et Modèles Statistiques, (UMR 8626 du CNRS) Université ParisSud, Bâtiment 100, 91405 Orsay Cedex, France. e-mail: [email protected]
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تاریخ انتشار 2007