Analytical Bethe Ansatz for $A_{2n-1}^{(2)},B_n^{(1)},C_n^{(1)},D_n^{(1)}$ quantum-algebra-invariant open spin chains

Abstract

We determine the eigenvalues of the transfer matrices for integrable open quantum spin chains which are associated with the affine Lie algebras $A_{2n-1}^{(2)},B_n^{(1)},C_n^{(1)},D_n^{(1)}$, and which have the quantum-algebra invariance U_q(C_n), U_q(B_n), U_q(C_n), U_q(D_n)$, respectively.

14 pages, latex, no figures (a character causing latex problem is removed)

References in corpus (6)

• Exact solution of the $S{U}_q(n)$ invariant quantum spin chains
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Exact Bethe Ansatz solution for $A_{n-1}$ chains with non-$S{U}_q(n)$ invariant open boundary conditions
• The Highest Weight Property for the $S{U}_q(n)$ Invariant Spin Chains
• Spectrum of transfer matrix for $U_q(B_n)$-invariant $A_{2n}^{(2)}$ open spin chain
• Diagonal $K$-matrices and transfer matrix eigenspectra associated with the $G_2^{(1)}$ $R$-matrix

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• Exact solution and surface critical behaviour of open cyclic SOS lattice models
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• Algebraic Bethe Ansatz solutions for the $sl(2|1{)}^{(2)}$ and $osp(2|1)$ models with boundary terms
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• Spectrum of the transfer matrices of the spin chains associated with the $A_3^{(2)}$ Lie algebra
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• $U_q[OSp(3|2)]$ quantum chains with quantum group invariant boundaries