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Mathematical Physics

arXiv:1609.00953 (math-ph)
[Submitted on 4 Sep 2016 (v1), last revised 25 May 2017 (this version, v2)]

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

Authors: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.
Comments: 24pages, no figures
Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1609.00953 [math-ph]
  (or arXiv:1609.00953v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1609.00953
Journal reference: Nuclear Physics B 920 (2017) 419-441
Related DOI: https://doi.org/10.1016/j.nuclphysb.2017.04.019

Submission history

From: Kun Hao [view email]
[v1] Sun, 4 Sep 2016 16:11:14 UTC (16 KB)
[v2] Thu, 25 May 2017 01:48:21 UTC (20 KB)
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