The general crossing relation for boundary reflection matrix

Abstract

In this paper, we give the general crossing relation for boundary reflection matrix R(β), which is the extension of the work given by Ghoshal and Zamolodchikov .We also use the first non-trivial extended crossing relation to determine the scaler factor of R(β) which is the rational diagonal solution to the boundary Yang-Baxter equation in the case of l=2 and n=3.

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