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

Wen-Li Yang·Yao-Zhong Zhang
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Abstract

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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Wen-Li Yang, Yao-Zhong Zhang. 2000-02-24. Level-one Highest Weight Representation of $U_q[\hat{sl(N|1)}]$ and Bosonization of the Multi-component Super t-J Model. https://doi.org/10.1063/1.533441

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