Mathematics – Quantum Algebra
Scientific paper
2000-01-27
J. Math. Phys. 41 (2000) 5849-5869
Mathematics
Quantum Algebra
LaTex file 21 pages
Scientific paper
10.1063/1.533441
We study the level-one irreducible highest weight representations of the quantum affine superalgebra $U_q[\hat{sl(N|1)}]$, and calculate their characters and supercharacters. We obtain bosonized q-vertex operators acting on the irreducible $U_q[\hat{sl(N|1)}]$-modules and derive the exchange relations satisfied by the vertex operators. We give the bosonization of the multi-component super $t-J$ model by using the bosonized vertex operators.
Yang Wen-Li
Zhang Yao-Zhong
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