Level-one Highest Weight Representation of $U_q[\hat{sl(N|1)}]$ and Bosonization of the Multi-component Super t-J Model

Mathematics – Quantum Algebra

Scientific paper

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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.

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