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- W2952605854 abstract "A bstract We explore 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space B 2 G of the symmetry group G , and they are classified by cohomology classes of B 2 G . For finite symmetry groups, 2-form topological theories have a natural lattice interpretation, which we use to construct a lattice Hamiltonian model in (3+1)d that is exactly solvable. This construction relies on the introduction of a cohomology, dubbed 2-form cohomology, of algebraic cocycles that are identified with the simplicial cocycles of B 2 G as provided by the so-called W -construction of Eilenberg-MacLane spaces. We show algebraically and geometrically how a 2-form 4-cocycle reduces to the associator and the braiding isomorphisms of a premodular category of G -graded vector spaces. This is used to show the correspondence between our 2-form gauge model and the Walker-Wang model." @default.
- W2952605854 created "2019-06-27" @default.
- W2952605854 creator A5022927592 @default.
- W2952605854 creator A5081488584 @default.
- W2952605854 date "2019-05-01" @default.
- W2952605854 modified "2023-10-17" @default.
- W2952605854 title "On 2-form gauge models of topological phases" @default.
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- W2952605854 doi "https://doi.org/10.1007/jhep05(2019)064" @default.
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