2014/09/29 by S. M. Kravec, John McGreevy, Brian Swingle
Physics and Astronomy · #hep-th #cond-mat.str-el
paper · pdf · doi:10.1103/physrevd.92.085024
published as Phys. Rev. D 92, 085024 (2015) · 37 pages, 5 figures
arxiv created 2014/09/29 · arxiv updated 2015/10/21
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.