Exact Chiral Symmetries of 3+1D Hamiltonian Lattice Fermions
This paper constructs 3+1D and 2+1D Hamiltonian lattice models for Weyl fermions and Dirac cones that evade no-go theorems by utilizing exact, not-on-site chiral symmetries—specifically a Ginsparg-Wilson analog and an Onsager algebra—to protect gaplessness and generate global anomalies even in the absence of crystalline translations.