TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.1.014
TI  - Abelian combinatorial gauge symmetry
PY  - 2024/03/26
UR  - https://scipost.org/SciPostPhysCore.7.1.014
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 1
SP  - 014
A1  - Yu, Hongji
AU  - Green, Dmitry
AU  - Ruckenstein, Andrei E.
AU  - Chamon, Claudio
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.7.1.014,
	title={{Abelian combinatorial gauge symmetry}},
	author={Hongji Yu and Dmitry Green and Andrei E. Ruckenstein and Claudio Chamon},
	journal={SciPost Phys. Core},
	volume={7},
	pages={014},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.1.014},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.1.014},
}