Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2022)175
Keywords
Bethe Ansatz; Lattice Integrable Models
Categories
Funding
- National Natural Science Foundation of China [12074410, 12047502, 12075177, 11934015, 11975183, 12105221, 91536115, 11805152]
- Major Basic Research Program of Natural Science of Shaanxi Province [2021JCW-19, 2017ZDJC-32]
- Australian Research Council [DP 190101529]
- Strategic Priority Research Program of the Chinese Academy of Sciences [XDB33000000]
- Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, Xi'an Jiaotong University
- Double First-Class University Construction Project of Northwest University
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In this paper, we generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted D-3((2)) algebra. We obtain operator product identities and determine eigenvalues of transfer matrices with an arbitrary anisotropic parameter q. Based on these results, we construct eigenvalues of transfer matrices for both periodic and open boundary conditions.
We generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted D-3((2)) algebra (or the D-3((2)) model) with either periodic or integrable open boundary conditions. We obtain the intrinsic operator product identities among the fused transfer matrices and find a way to close the recursive fusion relations, which makes it possible to determinate eigenvalues of transfer matrices with an arbitrary anisotropic parameter q. Based on them, and the asymptotic behaviors and values at certain points, we construct eigenvalues of transfer matrices in terms of homogeneous T - Q relations for the periodic case and inhomogeneous ones for the open case with some off-diagonal boundary reflections. The associated Bethe ansatz equations are also given. The method and results in this paper can be generalized to the D-n+1((2)) model and other high rank integrable models.
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