Level - one Highest Weight Representation of U q [ ̂ sl ( N | 1 ) ] and Bosonization of the Multi - component Super t − J Model
نویسندگان
چکیده
We study the level-one irreducible highest weight representations of the quantum affine superalgebra Uq[ ̂ sl(N |1)], and calculate their characters and supercharacters. We obtain bosonized q-vertex operators acting on the irreducible Uq[ ̂ 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. Mathematics Subject Classifications (1991): 17B37, 81R10, 81R50, 16W30 Yang and Zhang: Level-One Highest Weight Representations of Uq[ ̂ sl(N |1)] 1
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