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

TL;DR

This paper applies the Algebraic Bethe Ansatz to solve the finite volume problem of O(2N) sigma models with integrable diagonal boundaries, deriving boundary Bethe Yang equations and related Bethe Ansatz equations.

Contribution

It introduces a novel application of Algebraic Bethe Ansatz to O(2N) sigma models with boundary conditions, providing explicit equations for particle rapidities.

Findings

Diagonalization of the double row transfer matrix achieved

Boundary Bethe Yang equations derived for the model

Explicit Bethe Ansatz equations formulated for finite volume analysis

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.