New non-diagonal solutions to the $a_n^{(1)}$ boundary Yang-Baxter equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages

Scientific paper

Extending previous work on $a_2^{(1)}$, 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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