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Abelian combinatorial gauge symmetry
by Hongji Yu, Dmitry Green, Andrei E. Ruckenstein, Claudio Chamon
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Dmitry Green · Hongji Yu |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2212.03880v2 (pdf) |
| Date accepted: | 2024-02-22 |
| Date submitted: | 2023-10-03 03:49 |
| Submitted by: | Yu, Hongji |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Combinatorial gauge symmetry is a principle that allows us to construct lattice gauge theories with two key and distinguishing properties: a) only one- and two-body interactions are needed; and b) the symmetry is exact rather than emergent in an effective or perturbative limit. The ground state exhibits topological order for a range of parameters. This paper is a generalization of the construction to any finite Abelian group. In addition to the general mathematical construction, we present a physical implementation in superconducting wire arrays, which offers a route to the experimental realization of lattice gauge theories with static Hamiltonians.
Author comments upon resubmission
Please see below for a list of changes. We have also posted our detailed replies to the referee reports.
List of changes
The paper has undergone major revisions, including
- A new section summarizing the key results (Section 3),
- Reorganized and expanded main theoretical section, including general results previously derived alongside specific examples (Section 4),
- Simplified and clarified examples (Section 5),
- Elaborations on the superconducting wire array realization (Section 6),
- Adopting the standard lattice gauge theory convention for supports of charge and flux variables (throughout the paper, explained in Appendix A).
Published as SciPost Phys. Core 7, 014 (2024)