Classical integrability of the O(N) nonlinear Sigma model on a half-line

Abstract

The classical integrability the O(N) nonlinear sigma model on a half-line is examined, and the existence of an infinity of conserved charges in involution is established for the free boundary condition. For the case N=3 other possible boundary conditions are considered briefly.

12 Pages. Latex file (process twice)

References in corpus (5)

• Classically integrable boundary conditions for affine Toda field theories
• Affine Toda field theory on a half line
• The Lie-Poisson Structure of Integrable Classical Non-Linear Sigma Models
• Fusion of SO(N) reflection matrices
• Constructive building of the Lax pair in the non-linear sigma model

Cited by in corpus (13)

• Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
• Classical Open String Integrability
• Integrability of Green-Schwarz Sigma Models with Boundaries
• Integrable Boundary Conditions and Reflection Matrices for the O(N) Nonlinear Sigma Model
• String integrability of defect CFT and dynamical reflection matrices
• Classically integrable boundary conditions for symmetric-space sigma models
• D-branes in $\lambda$-deformations
• Quantum Integrability of Certain Boundary Conditions
• Classical O(N) nonlinear sigma model on the half line: a study on consistent Hamiltonian description
• On integrable boundaries in the 2 dimensional $O(N)$ $\sigma$-models
• Giant magnons and non-maximal giant gravitons
• New boundary monodromy matrices for classical sigma models
• Supersymmetric WZW $\sigma$ Model on Full and Half Plane