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Duality and hidden symmetry breaking in the q-deformed Affleck-Kennedy-Lieb-Tasaki model
by Tyler Franke, Thomas Quella
Submission summary
| Authors (as registered SciPost users): | Tyler Franke · Thomas Quella |
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| Preprint Link: | https://arxiv.org/abs/2403.09287v1 (pdf) |
| Date submitted: | 2024-04-05 03:54 |
| Submitted by: | Franke, Tyler |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
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Abstract
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.
Current status:
In refereeing