The paper proposes that a conserved and gauge invariant axial rotation in 1d and 3d condensed matter models requires a dark bulk topological order built from partons, distinguishing it from noninvertible symmetry proposals.
Fermion mass without symmetry breaking
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abstract
We examine a model of reduced staggered fermions in three dimensions interacting through an $SO(4)$ invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan \cite{Ayyar:2014eua}. We present theoretical arguments and numerical evidence which support the idea that the system develops a mass gap for sufficiently strong four fermi coupling.{\it without} producing a symmetry breaking fermion bilinear condensate. Massless and massive phases appear to be separated by a continuous phase transition.
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"Symmetry-from-Anomaly" in Condensed Matter related Constructions
The paper proposes that a conserved and gauge invariant axial rotation in 1d and 3d condensed matter models requires a dark bulk topological order built from partons, distinguishing it from noninvertible symmetry proposals.