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Communications in Theoretical Physics

The Boundary States of the q -Deformed Supersymmetric t-J Model with a Boundary

Wen‐Li Yang, Zhen Yi

Published Oct 15, 2001• 1 citation
Publisher

Abstract

The q-deformed supersymmetric t-J model on a semi-infinite lattice is diagonalized by using the level-one vertex operators of the quantum affine superalgebra U-q[sl(2 1)]. We give the bosonization of the boundary states.
DOI
10.1088/0253-6102/36/4/405

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The Uq(gl^(N∣N))U_q(\hat{gl}(N|N))Uq​(gl^​(N∣N))-analog of the half-infinite t−Jt-Jt−J model with a boundary is considered by using the vertex operator approach. We find explicit bosonic formula of the boundary state in the integrable highest-weight module over the quantum superalgebra Uq(gl^(N∣N))U_q(\hat{gl}(N|N))Uq​(gl^​(N∣N)).
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