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

Abstract

We study the level-one irreducible highest weight representations of the quantum affine superalgebra $U_q[\widehat{sl(N|1)}]$, and calculate their characters and supercharacters. We obtain bosonized q-vertex operators acting on the irreducible $U_q[\widehat{sl(N|1)}]$-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.

LaTex file 21 pages

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Cited by in corpus (5)

• Diagonalization of transfer matrix of supersymmetry $u_q(\widehat{sl}(m+1|n+1))$ chain with a boundary
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
• q-deformed Supersymmetric t-J Model with a Boundary
• Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$