On the solutions of the $Z_n$-Belavin model with arbitrary number of sites

Abstract

The periodic $Z_n$-Belavin model on a lattice with an arbitrary number of sites $N$ is studied via the off-diagonal Bethe Ansatz method (ODBA). The eigenvalues of the corresponding transfer matrix are given in terms of an unified inhomogeneous $T-Q$ relation. In the special case of $N=nl$ with $l$ being also a positive integer, the resulting $T-Q$ relation recovers the homogeneous one previously obtained via algebraic Bethe Ansatz.

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References in corpus (5)

• Off-diagonal Bethe ansatz and exact solution of a topological spin ring
• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
• Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe ansatz