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We consider a family of quantum loop models in 2+1 spacetime dimensions with marginally long-ranged and statistical interactions mediated by a U$(1)$ gauge field, both purely in 2+1 dimensions and on a surface in a 3+1 dimensional bulk system.
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Y. Ferreirós and E. Fradkin, “Boson-Fermion Duality in Three Dimenions,” (2018), in preparation
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