Joao Faria Martins
Lecturer in Algebra, School of Mathematics, University of Leeds
Abstract
Higher gauge theory is a higher order version of gauge theory which enables the definition of non-abelian holonomy along surfaces embedded in a manifold. After formulating the higher gauge theory version of the Kitaev quantum-double model, we show how Aharonov-Bohm type effects of finite 2-group (3+1)-dimensional topological higher gauge theory give rise to representations of the loop braid group.