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Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

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JournalCommunications in Mathematical Physics
DatePublished - Feb 2003
Issue number1
Volume233
Number of pages17
Pages (from-to)173-190
Original languageEnglish

Abstract

We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U q (g).

    Research areas

  • S-MATRICES, BOUNDARY-CONDITIONS, YANGIAN SYMMETRY, SOLITONS, STATES, ALGEBRA, SYSTEMS, MODELS

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