Integrable Boundary Conditions and Reflection Matrices for the O(N) Nonlinear Sigma Model

Details Integrable Boundary Conditions and Reflection Matrices for the O(N) Nonlinear Sigma Model Integrable Boundary Conditions and Reflection Matrices for the O(N) Nonlinear Sigma Model

2001-08-07

arxiv.org/abs/hep-th/0108039v2

Nucl.Phys. B619 (2001) 396-414

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 2 figures. v2: References added, typos corrected, few comments added

Scientific paper

10.1016/S0550-3213(01)00527-2

We find new integrable boundary conditions, depending on a free parameter $g$, for the O(N) nonlinear $\sigma$ model, which are of nondiagonal type, that is, particles can change their ``flavor'' through scattering off the boundary. These boundary conditions are derived from a microscopic boundary lagrangian, which is used to establish their integrability, and exhibit integrable flows between diagonal boundary conditions investigated earlier. We solve the boundary Yang-Baxter equation, connect these solutions to the boundary conditions, and examine the corresponding integrable flows.

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