Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-08-12
Bull. Austral. Math. Soc. 51 (1995) 177
Physics
High Energy Physics
High Energy Physics - Theory
10 pages (The order of authors is changed and some typos corrected)
Scientific paper
The recently obtained results in \cite{ZG2} are used to compute the explicitly spectral-dependent $R$-matrix (or the intertwiners) on $V_{(6)}(x)\otimes V_{(6)}(y)$ and $V_{(3)}(x)\otimes V_{(6)}(y)$, where $V_{(6)}$ and $V_{(3)}$ are the 6-dimensional and fundamental representations of $U_q(A_2)$, respectively. It appears that the $R$-matrix on $V_{(3)}(x)\otimes V_{(6)}(y)$ depends on $q$ in the different way from what one might usually think: $q$ occurs in the $R$-matrix in fractional powers. It seems to be the first example in literatures of $R$-matrix with the new feature.
Bracken Anthony J.
Gould Mark D.
Zhang Yao-Zhong
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