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Affine Toda field theories with defects

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JournalJournal of High Energy Physics
DatePublished - Jan 2004
Issue number1
Number of pages25
Pages (from-to)-
Original languageEnglish

Abstract

A lagrangian approach is proposed and developed to study defects within affine Toda field theories. In particular, a suitable Lax pair is constructed together with examples of conserved charges. It is found that only those models based on a(r)((1)) data appear to allow defects preserving integrability. Surprisingly, despite the explicit breaking of Lorentz and translation invariance, modified forms of both energy and momentum are conserved. Some, but apparently not all, of the higher spin conserved charges are also preserved after the addition of contributions from the defect. This fact is illustrated by noting how defects may preserve a modified form of just one of the spin 2 or spin -2 charges but not both of them.

    Research areas

  • field theories in lower dimensions, integrable field theories, SINH-GORDON MODEL, INTEGRABLE BOUNDARY-CONDITIONS, REFLECTION FACTORS, HALF-LINE, S-MATRIX, SOLITONS, SCATTERING, IMPURITY, EQUATIONS, SYSTEMS

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