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arXiv:nlin/0102025 · Journal of Physics A Mathematical and General

Theq-deformed supersymmetrict-Jmodel with a boundary

Bo-Yu Hou, Wen‐Li Yang, Yao-Zhong Zhang, Yi Zhen

Published Mar 8, 2002• 3 citations
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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 We give the bosonization of the boundary states. We give an integral expression for the correlation functions of the boundary model, and derive the difference equations which they satisfy.

DOI
10.1088/0305-4470/35/11/306

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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 We give the bosonization of the boundary states. We give an integral expression for the correlation functions of the boundary model, and derive the difference equations which they satisfy.
Boundary state of Uq(gl^(N∣N))U_q(\hat{gl}(N|N))Uq​(gl^​(N∣N)) analog of half-infinite t−Jt-Jt−J model
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)).