Completeness of Bethe's states for generalized $XXZ$ model, II
For any rational number $p_0\ge 2$ we prove an identity of Rogers-Ramanujan's type. Bijection between the space od states for $XXZ$ model and that of $XXX$ model is constructed
hep-th↗
arXiv subjects
Nadejda A. Liskova
Publications and source records attributed to Nadejda A. Liskova.
Completeness of Bethe's states for generalized $XXZ$ model
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 $A$.
hep-th↗
Clebch-Gordan and Racah-Wigner coefficients for $U_q(SU(1,1))$
The Clebsch-Gordan and Racah-Wigner coefficients for the positive (or negative) discrete series of irreducible representations for the noncompact form $U_q(SU(1,1))$ of the algebra $U_q(sl(2))$ are computed.
hep-th↗