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Abstract: I discuss a family of statistical-mechanics models in which some classes ofelements of a finite group $G$ occupy the directed edges of a lattice; theproduct around any plaquette is constrained to be the group identity $e$. Sucha model may possess topological order, i.e. its equilibrium ensemble hasdistinct, symmetry-related thermodynamic components that cannot bedistinguished by any local order parameter. In particular, if $G$ is anon-abelian group, the topological order may be non-abelian. Criteria are givenfor the viability of particular models, in particular for Monte Carlo updates.



Author: Christopher L. Henley

Source: https://arxiv.org/



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