Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries

Abstract

The finite volume problem of O(2N) sigma models with integrable diagonal boundaries on a finite interval is investigated. The double row transfer matrix is diagonalized by Algebraic Bethe Ansatz. The boundary Bethe Yang equations for the particle rapidities and the accompanying Bethe Ansatz equations are derived.Comment: 32 pages Discussion of the crossing property of the double row transfer matrix as well as its eigenvalue on the pseudovacuum included. Version accepted for JHEP v3 Note added, typos correcte