Integrable open-boundary conditions for the $q$-deformed supersymmetric $U$ model of strongly correlated electrons

Abstract

A general graded reflection equation algebra is proposed and the corresponding boundary quantum inverse scattering method is formulated. The formalism is applicable to all boundary lattice systems where an invertible R-matrix exists. As an application, the integrable open-boundary conditions for the $q$-deformed supersymmetric $U$ model of strongly correlated electrons are investigated. The diagonal boundary K-matrices are found and a class of integrable boundary terms are determined. The boundary system is solved by means of the coordinate space Bethe ansatz technique and the Bethe ansatz equations are derived. As a sideline, it is shown that all R-matrices associated with a quantum affine superalgebra enjoy the crossing-unitarity property.

some typos correctedand refs updated; to appear in Nucl. Phys. B

References in corpus (1)

• An open-boundary integrable model of three coupled XY spin chains

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