Bethe ansatz for the three-layer Zamolodchikov model

Bethe ansatz for the three-layer Zamolodchikov model

This paper is a continuation of our previous work [18]. We obtain two more functional relations for the eigenvalues of the transfer matrices for the sl(3) chiral Potts model at q2 = −1. This model, up to a modification of boundary conditions, is equivalent to the threelayer three-dimensional Zamolodchikov model. From these relations we derive the Bethe ansatz equations. On leave of absence from...

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...

Unitarity of the Knizhnik-Zamolodchikov-Bernard connection and the Bethe Ansatz for the elliptic Hitchin systems

We work out finite-dimensional integral formulae for the scalar product of genus one states of the group G Chern-Simons theory with insertions of Wilson lines. Assuming convergence of the integrals, we show that unitarity of the elliptic KnizhnikZamolodchikov-Bernard connection with respect to the scalar product of CS states is closely related to the Bethe Ansatz for the commuting Hamiltonians ...

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