The SO(N) principal chiral field on a half-line

Details The SO(N) principal chiral field on a half-line The SO(N) principal chiral field on a half-line

1999-03-16

arxiv.org/abs/hep-th/9903137v1

J.Phys. A32 (1999) L189-L193

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, Latex

Scientific paper

10.1088/0305-4470/32/17/101

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.

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