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arXiv · 1609.00953

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

Kun Hao·Junpeng Cao·Guang-Liang Li·Wen-Li Yang·Kangjie Shi·Yupeng Wang
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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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Kun Hao, Junpeng Cao, Guang-Liang Li, Wen-Li Yang, Kangjie Shi, Yupeng Wang. 2017-05-25. On the solutions of the $Z_n$-Belavin model with arbitrary number of sites. https://doi.org/10.1016/j.nuclphysb.2017.04.019

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