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math-ph2018★ 12 cited
Representations of the Loop Braid Group and Aharonov-Bohm like effects in discrete (3+1)-dimensional higher gauge theory
Alex Bullivant, João Faria Martins, Paul Martin
We show that representations of the loop braid group arise from Aharonov-Bohm like effects in finite 2-group (3+1)-dimensional topological higher gauge theory. For this we introduc…
math-ph2017★ 61 cited
Higher lattices, discrete two-dimensional holonomy and topological phases in (3+1) D with higher gauge symmetry
Alex Bullivant, Marcos Calcada, Zoltán Kádár +2
Higher gauge theory is a higher order version of gauge theory that makes possible the definition of 2-dimensional holonomy along surfaces embedded in a manifold where a gauge 2-con…