Exotic theta terms in 2+1d fractonic φ-theory induce generalized Witten effects, with vortex operators gaining momentum subsystem charge (quadrupolar for the foliated case).
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A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
A lattice discretization of constant modes in 2+1D Maxwell-Chern-Simons theory on a torus maps to a generalized Harper-Hofstadter model, reproducing continuum topological degeneracy under specific commensurability conditions with truncation convergence analyzed.
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Exotic theta terms in 2+1d fractonic field theory
Exotic theta terms in 2+1d fractonic φ-theory induce generalized Witten effects, with vortex operators gaining momentum subsystem charge (quadrupolar for the foliated case).
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Lattice chiral symmetry from bosons in 3+1d
A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
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Toward Hamiltonian simulations of Maxwell-Chern-Simons theory: constant modes and gauge field truncation
A lattice discretization of constant modes in 2+1D Maxwell-Chern-Simons theory on a torus maps to a generalized Harper-Hofstadter model, reproducing continuum topological degeneracy under specific commensurability conditions with truncation convergence analyzed.