Abelian combinatorial gauge symmetry
Strongly Correlated Electrons
2023-09-28 v2 High Energy Physics - Lattice
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.
Cite
@article{arxiv.2212.03880,
title = {Abelian combinatorial gauge symmetry},
author = {Hongji Yu and Dmitry Green and Andrei E. Ruckenstein and Claudio Chamon},
journal= {arXiv preprint arXiv:2212.03880},
year = {2023}
}