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

Abstract

We study the supersymmetry $U_q(\widehat{sl}(M+1|N+1))$ 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.

LaTEX, 42 pages

References in corpus (3)

• Nested Bethe ansatz for `all' open spin chains with diagonal boundary conditions
• A remark on ground state of boundary Izergin-Korepin model
• Diagonalization of infinite transfer matrix of boundary $U_{q,p}(A_{N-1}^{(1)})$ face model

Cited by in corpus (9)

• Representations of Quantum Affine Superalgebras
• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• Non-Abelian symmetries of the half-infinite XXZ spin chain
• RTT realization of quantum affine superalgebras and tensor products
• Form factors of the half-infinite XXZ spin chain with a triangular boundary
• Fundamental representations of quantum affine superalgebras and R-matrices
• Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$
• Quasi-solvable lattice models for ${\mathrm{Sp}}_{2n}$ and ${\mathrm{SO}}_{2n+1}$ Demazure atoms and characters
• Solving the n-color ice model