P - T H - 9 40 31 07 hep - th / 9403107 COMPLETENESS OF BETHE ' S STATES FOR GENERALIZED XXZ MODEL
نویسندگان
چکیده
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 nd 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. x
منابع مشابه
ar X iv : h ep - t h / 96 07 01 2 v 1 2 J ul 1 99 6 Completeness of Bethe ’ s states for generalized XXZ model , II .
For any rational number p0 ≥ 2 we prove an identity of RogersRamanujan’s type. Bijection between the space of states for XXZ model and that of XXX model is constructed. The main goal of our paper is to study a combinatorial relationship between the space of states for generalized XXZ model and that forXXX one. In our previous paper [KL] we gave a combinatorial description of states for generali...
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