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arxiv: 1211.2912 · v1 · pith:44JHYIAVnew · submitted 2012-11-13 · 🌊 nlin.SI · hep-th· math-ph· math.MP· math.QA

Diagonalization of transfer matrix of supersymmetry u_q(hat{sl}(m+1|n+1)) chain with a boundary

classification 🌊 nlin.SI hep-thmath-phmath.MPmath.QA
keywords supersymmetryboundarymatrixtransferaffinealgebraicanalogueanalysis
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We study the supersymmetry $U_q(\hat{sl}(M+1|N+1))$ analogue of the supersymmetric t-J model with a boundary, in the framework of the algebraic analysis method. We diagonalize the commuting transfer matrix by using the bosonization of the vertex operator associated with the quantum affine supersymmetry.

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