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arXiv · hep-th/9903137

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

N. J. MacKay
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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.

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N. J. MacKay. 1999-03-16. The SO(N) principal chiral field on a half-line. https://doi.org/10.1088/0305-4470%2F32%2F17%2F101

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