Abstract
We study the generalized supersymmetric model with boundaries in three different gradings: fermionic, fermionic, bosonic (FFB), bosonic, fermionic, fermionic (BFF), and fermionic, bosonic, fermionic (FBF). Starting from the trigonometric R matrix, and in the framework of the graded quantum inverse scattering method, we solve the eigenvalue problems for the supersymmetric model. Detailed calculations are presented to obtain the eigenvalues and Bethe ansatz equations of the supersymmetric model with boundaries in three different backgrounds.
- Received 9 June 1999
DOI:https://doi.org/10.1103/PhysRevB.61.3450
©2000 American Physical Society