Off-diagonal Bethe Ansatz for the $$ {D}_3^{(1)} $$ model

Bethe Ansatz for the FPL 2 model

An exact solution of the model of fully packed loops of two colors on a square lattice has recently been proposed by Dei Cont and Nienhuis using the coordinate Bethe Ansatz approach. We point out here a simpler alternative, in which the transfer matrix is directly identified as a product of R-matrices; this allows to apply the (nested) algebraic Bethe Ansatz, which leads to the same Bethe equat...

Off-diagonal Bethe ansatz and exact solution of a topological spin ring.

A general method is proposed for constructing the Bethe ansatz equations of integrable models without U(1) symmetry. As an example, the exact spectrum of the XXZ spin ring with a Möbius-like topological boundary condition is derived by constructing a modified T-Q relation based on the functional connection between the eigenvalues of the transfer matrix and the quantum determinant of the monodro...

Algebraic Bethe Ansatz for XYZ Gaudin model

The eigenvectors of the Hamiltionians of the XYZ Gaudin model are constructed by means of the algebraic Bethe Ansatz. The construction is is based on the quasi-classical limit of the corresponding results for the inhomogeneous higher spin eight vertex model. EKS acknowledges the support of the Department of Mathematical Sciences, the University of Tokyo, where the most part of the work was done...

Bethe Ansatz works for integrable model

The BCS model and the off shell Bethe ansatz for vertex models

We study the connection between the BCS pairing model and the inhomogeneous vertex model. The two spectral problems coincide in the quasi–classical limit of the off–shell Bethe Ansatz of the disordered six vertex model. The latter problem is transformed into an auxiliary spectral problem which corresponds to the diagonalization of the integrals of motion of the BCS model. A generating functiona...