title: Gauge theory generalization of the fermion doubling theorem.
abstract: It is possible to characterize certain states of matter by properties of their edge states. This implies a notion of "surface-only models": models which can only be regularized at the edge of a higher-dimensional system. After incorporating the fermion-doubling results of Nielsen and Ninomiya into this framework, we employ this idea to identify new obstructions to symmetry-preserving regulators of quantum field theory. We focus on an example which forbids regulated models of Maxwell theory with manifest electromagnetic duality symmetry.
authors.affiliation: Department of Physics, University of California at San Diego, La Jolla, California 92093, USA.
authors.forename: S M
authors.initials: SM
authors.lastname: Kravec
authors.forename: John
authors.initials: J
authors.lastname: McGreevy