New non-diagonal solutions to the a_n⁽¹⁾ boundary Yang-Baxter equation

1999/11/23 by G. M. Gandenberger, G.M. Gandenberger, Gandenberger, G. M.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9911178

6 pages

arxiv created 1999/11/23 · openalex publication_date 1999/11/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Extending previous work on a₂⁽¹⁾, we present a set of reflection matrices, which are explicit solutions to the a_n⁽¹⁾ boundary Yang-Baxter equation. Unlike solutions found previously these are multiplet-changing K-matrices, and could therefore be used as soliton reflection matrices for affine Toda field theories on the half-line.

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