Conjectures on hidden Onsager algebra symmetries in interacting quantum lattice models

Miao, Yuan

doi:10.21468/SciPostPhys.11.3.066

SciPost Physics

Conjectures on hidden Onsager algebra symmetries in interacting quantum lattice models

Yuan Miao

SciPost Phys. 11, 066 (2021) · published 22 September 2021

doi: 10.21468/SciPostPhys.11.3.066
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Abstract

We conjecture the existence of hidden Onsager algebra symmetries in two interacting quantum integrable lattice models, i.e. spin-1/2 XXZ model and spin-1 Zamolodchikov-Fateev model at arbitrary root of unity values of the anisotropy. The conjectures relate the Onsager generators to the conserved charges obtained from semi-cyclic transfer matrices. The conjectures are motivated by two examples which are spin-1/2 XX model and spin-1 U(1)-invariant clock model. A novel construction of the semi-cyclic transfer matrices of spin-1 Zamolodchikov-Fateev model at arbitrary root of unity value of the anisotropy is carried out via transfer matrix fusion procedure.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.3.066
TI  - Conjectures on hidden Onsager algebra symmetries in interacting quantum lattice models
PY  - 2021/09/22
UR  - https://scipost.org/SciPostPhys.11.3.066
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 3
SP  - 066
A1  - Miao, Yuan
AB  - We conjecture the existence of hidden Onsager algebra symmetries in two interacting quantum integrable lattice models, i.e. spin-1/2 XXZ model and spin-1 Zamolodchikov-Fateev model at arbitrary root of unity values of the anisotropy. The conjectures relate the Onsager generators to the conserved charges obtained from semi-cyclic transfer matrices. The conjectures are motivated by two examples which are spin-1/2 XX model and spin-1 U(1)-invariant clock model. A novel construction of the semi-cyclic transfer matrices of spin-1 Zamolodchikov-Fateev model at arbitrary root of unity value of the anisotropy is carried out via transfer matrix fusion procedure.
ER  -

@Article{10.21468/SciPostPhys.11.3.066,
	title={{Conjectures on hidden Onsager algebra symmetries in interacting quantum lattice models}},
	author={Yuan Miao},
	journal={SciPost Phys.},
	volume={11},
	pages={066},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.3.066},
	url={https://scipost.org/10.21468/SciPostPhys.11.3.066},
}

Cited by 7

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¹ Yuan Miao

¹ Institute of Physics, University of Amsterdam [IoP, UvA]

Funder for the research work leading to this publication

European Research Council [ERC]