Completeness of Bethe's states for generalized $XXZ$ model

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We study the Bethe ansatz equations for a generalized $XXZ$ model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a combinatorial completeness of Bethe's states for a generalized $XXZ$ model. We find an exact form for inverse matrix related with vacancy numbers and compute its determinant. This inverse matrix has a tridiagonal form, generalizing the Cartan matrix of type $A$.
20 pages, PlainTEX

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/187142

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9403107
 http://arxiv.org/abs/hep-th/9403107
 J.Phys.A30:1209-1226,1997
 doi:10.1088/0305-4470/30/4/022

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