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Quantum Simulation
Higher lattice gauge theory from representations of 2-groups and 3+1D topological phases
arXiv
Authors: Latévi M. Lawson, Prince K. Osei
Year
2025
Paper ID
36387
Status
Preprint
Abstract Read
~2 min
Abstract Words
56
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N/A
Abstract
We construct a higher lattice gauge theory based on the representation of 2-groups described by a category of crossed modules on a lattice model described by path 2-groupoids. Using these lattice gauge representations, an exactly solvable Hamiltonian for topological phases in 3+1 dimensions is constructed. We show that the ground states of this model are topological observables.
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- We construct a higher lattice gauge theory based on the representation of 2-groups described by a category of crossed modules on a lattice model described by path 2-groupoids.
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