Exact solution of an su(n) spin torus
Kun Hao, Junpeng Cao, Guang-Liang Li, Wen-Li Yang, Kangjie Shi and, Yupeng Wang
TL;DR
This paper presents an exact solution for the su(n) spin torus, a trigonometric spin chain with anti-periodic boundary conditions, using the off-diagonal Bethe Ansatz method.
Contribution
It introduces a novel exact solution for the su(n) spin torus by deriving operator identities and applying the off-diagonal Bethe Ansatz.
Findings
Exact eigenvalues expressed via inhomogeneous T-Q relation
Demonstration of Yang-Baxter integrability of the model
Extension of Bethe Ansatz techniques to su(n) spin chains
Abstract
The trigonometric su(n) spin chain with anti-periodic boundary condition (su(n) spin torus) is demonstrated to be Yang-Baxter integrable. Based on some intrinsic properties of the R-matrix, certain operator product identities of the transfer matrix are derived. These identities and the asymptotic behavior of the transfer matrix together allow us to obtain the exact eigenvalues in terms of an inhomogeneous T-Q relation via the off-diagonal Bethe Ansatz.
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