pith. sign in

arxiv: nlin/0512035 · v1 · submitted 2005-12-14 · 🌊 nlin.SI

Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations

classification 🌊 nlin.SI
keywords ansatzbethealgebraicgradingmatrixmodeltransfervertex
0
0 comments X
read the original abstract

We diagonalize the transfer matrix of a solvable vertex model constructed by combining the vector representation of U_q[Sl(n|m)] and its dual by means of the quantum inverse scattering framework. The algebraic Bethe ansatz solution consider all (n+m)!/(n!m!) possibilities of choosing the grading for arbitrary values of n and m. This allows us to derive the transfer matrix eigenvalues and the respective Bethe ansatz equations for general grading choices.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.