The general crossing relation for boundary reflection matrix

Abstract

In this paper, we give the general crossing relation for boundary reflection matrix $R(\beta )$, 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 $R(\beta )$ which is the rational diagonal solution to the boundary Yang-Baxter equation in the case of l=2 and n=3.

Latex 11 pages