q-deformed Supersymmetric t-J Model with a Boundary

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 $U_q[\widehat{sl(2|1)}]$. We give the bosonization of the boundary states. We give an integral expression of the correlation functions of the boundary model, and derive the difference equations which they satisfy.

LaTex file 18 pages

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Cited by in corpus (2)

• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• Diagonalization of transfer matrix of supersymmetry $u_q(\widehat{sl}(m+1|n+1))$ chain with a boundary