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Updated: May 6, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Gauge theory generalization of the fermion doubling theorem
1Department of Physics, University of California at San Diego, La Jolla, California 92093, USA.
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.
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