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arxiv: 1409.8339 · v1 · submitted 2014-09-29 · ✦ hep-th · cond-mat.str-el

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All-fermion electrodynamics and fermion number anomaly inflow

S. M. Kravec , John McGreevy , Brian Swingle
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classification ✦ hep-th cond-mat.str-el
keywords dimensionalelectrodynamicsfermionicstateall-fermionanomalyfermionnumber
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We demonstrate that 3+1-dimensional quantum electrodynamics with fermionic charges, fermionic monopoles, and fermionic dyons arises at the edge of a 4+1-dimensional gapped state with short-range entanglement. This state cannot be adiabatically connected to a product state, even in the absence of any symmetry. This provides independent evidence for the obstruction found by arXiv:1306.3238 to a 3+1-dimensional short-distance completion of all-fermion electrodynamics. The non-triviality of the bulk is demonstrated by a novel fermion number anomaly.

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