The SO(N) principal chiral field on a half-line
High Energy Physics - Theory
2009-10-31 v1
Abstract
We investigate the integrability of the SO(N) principal chiral model on a half-line, and find that mixed Dirichlet/Neumann boundary conditions (as well as pure Dirichlet or Neumann) lead to infinitely many conserved charges classically in involution. We use an anomaly-counting method to show that at least one non-trivial example survives quantization, compare our results with the proposed reflection matrices, and, based on these, make some preliminary remarks about expected boundary bound-states.
Keywords
Cite
@article{arxiv.hep-th/9903137,
title = {The SO(N) principal chiral field on a half-line},
author = {N. J. MacKay},
journal= {arXiv preprint arXiv:hep-th/9903137},
year = {2009}
}
Comments
7 pages, Latex