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

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JournalJournal of Physics A: Mathematical and General
DatePublished - Apr 1999
Issue number17
Volume32
Number of pages5
Pages (from-to)L189-L193
Original languageEnglish

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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