TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.4.078
TI  - Duality and hidden symmetry breaking in the q-deformed Affleck-Kennedy-Lieb-Tasaki model
PY  - 2024/12/02
UR  - https://scipost.org/SciPostPhysCore.7.4.078
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 4
SP  - 078
A1  - Franke, Tyler
AU  - Quella, Thomas
AB  - We revisit the question of string order and hidden symmetry breaking in the $q$-deformed AKLT model, an example of a spin chain that possesses generalized symmetry. We first argue that the non-local Kennedy-Tasaki duality transformation that was previously proposed to relate the string order to a local order parameter leads to a non-local Hamiltonian and thus does not provide a physically adequate description of the symmetry breaking. We then present a modified non-local transformation which is based on a recently developed generalization of Witten's Conjugation to frustration-free lattice models and capable of resolving this issue.
ER  -

@Article{10.21468/SciPostPhysCore.7.4.078,
	title={{Duality and hidden symmetry breaking in the q-deformed Affleck-Kennedy-Lieb-Tasaki model}},
	author={Tyler Franke and Thomas Quella},
	journal={SciPost Phys. Core},
	volume={7},
	pages={078},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.4.078},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.4.078},
}