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

Niall MacKay

doi:10.1088/0305-4470/32/17/101

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

Niall MacKay

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	L189-L193
Number of pages	5
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	17
DOIs	https://doi.org/10.1088/0305-4470/32/17/101
Publication status	Published - Apr 1999

Access to Document

10.1088/0305-4470/32/17/101

http://arxiv.org/abs/hep-th/9903137

Cite this

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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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