Classical O(N) nonlinear sigma model on the half line: a study on consistent Hamiltonian description
@article{He2003ClassicalON, title={Classical O(N) nonlinear sigma model on the half line: a study on consistent Hamiltonian description}, author={Wenli He and Liu Zhao}, journal={Physics Letters B}, year={2003}, volume={570}, pages={251-259} }
8 Citations
On integrable boundaries in the 2 dimensional O(N) σ-models
- Mathematics
- 2017
We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear O(N) σ-models. We do it at various levels: classically, by demanding the existence of infinitely many…
The reduced phase space of an open string in the background B-field
- Physics
- 2005
The problem of an open string in background B-field is discussed. Using the discretized model in details we show that the system is influenced by an infinite number of second class constraints. We…
Boundary integrability of nonlinear sigma models
- Mathematics
- 2005
We describe recent work on the classical integrability of the principal chiral model and general sigma models with boundaries in (compact) symmetric spaces.
Boundary integrability of nonlinear sigma models
- MathematicsTheoretical and Mathematical Physics
- 2005
We describe recent work on the classical integrability of the principal chiral model and general sigma models with boundaries in (compact) symmetric spaces.
SUPERSYMMETRIC WZW σ MODEL ON INFINITE AND HALF-PLANE
- Physics
- 2005
We study classical integrability of the supersymmetric U(N) σ model with the Wess–Zumino–Witten term on infinite and half-plane. We demonstrate the existence of nonlocal conserved currents of the…
References
SHOWING 1-10 OF 31 REFERENCES
Integrable boundary conditions and reflection matrices for the O(N) nonlinear sigma model
- Mathematics, Physics
- 2001
NONLINEAR SIGMA MODELS ON A HALF PLANE
- Mathematics
- 1996
In the context of integrable field theory with boundary, the integrable nonlinear sigma models in two dimensions, for example the O(N), the principal chiral, the CPN−1 and the complex Grassmannian…
Classical Integrability of the O(N) Nonlinear Sigma Model on a Half-Line
- Mathematics
- 1997
The classical integrability of 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…
The Lie-Poisson structure of integrable classical non-linear sigma models
- Mathematics
- 1993
The canonical structure of classical non-linear sigma models on Riemannian symmetric spaces, which constitute the most general class of classical non-linear sigma models known to be integrable, is…
Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model
- Mathematics
- 2002
We discuss the new integrable boundary conditions for the O(N) nonlinear σ model and related solutions of the boundary Yang-Baxter equation, which were presented in our previous paper hep-th/0108039.
Boundary conditions as Dirac constraints
- Physics
- 1999
Abstract. In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian constraints. Using the Dirac method, we find that boundary conditions are equivalent to an…
Boundary Poisson structure and quantization
- Physics
- 2001
Quantization of classical field in the presence of various boundary conditions is an old problem for which a systematical solution is still missing. This problem is important because it is related to…