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Anyonic membranes and Pontryagin statistics
high-energy-physics-theorymathematical-physicsquantum-algebraquantum-physicsstrongly-correlated-electrons
Anyons, unique to two spatial dimensions, underlie extraordinary phenomena such as the fractional quantum Hall effect, but their generalization to higher dimensions has remained elusive. The topology of Eilenberg-MacLane spaces constrains the loop statistics to be only bosonic or fermionic in any di
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