A tangent-fermion lattice with Hubbard interactions realizes symmetric mass generation in the 3-4-5-0 model without fermion doubling or ground-state degeneracy.
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Lattice CPT symmetry upgrades the Onsager chiral symmetry anomaly from order two to infinite order, better matching the continuum chiral anomaly, with discussion of associated 2+1d SPT phases.
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).
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.
Proposes a bosonized lattice construction of anomaly-free 2D non-Abelian chiral gauge theories in which left and right bulk contributions cancel at finite spacing when quadratic indices match.
Implements gradient flow and EOM flow for gauge fields in n=1 domain wall fermion slab geometry on the lattice, demonstrating current conservation and anomaly inflow with background fields.
Proposes equation-of-motion flow on square lattice for extending boundary gauge fields into disk interior in 2n-dimensional chiral gauge theories and demonstrates anomaly inflow and cancellation on the lattice.
citing papers explorer
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Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
A tangent-fermion lattice with Hubbard interactions realizes symmetric mass generation in the 3-4-5-0 model without fermion doubling or ground-state degeneracy.
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Infinite-Order Lattice Chiral Anomalies and CPT
Lattice CPT symmetry upgrades the Onsager chiral symmetry anomaly from order two to infinite order, better matching the continuum chiral anomaly, with discussion of associated 2+1d SPT phases.
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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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Lattice chiral non-Abelian gauge symmetry via bosonization
Proposes a bosonized lattice construction of anomaly-free 2D non-Abelian chiral gauge theories in which left and right bulk contributions cancel at finite spacing when quadratic indices match.
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Gauge field flow for chiral gauge theories on a slab
Implements gradient flow and EOM flow for gauge fields in n=1 domain wall fermion slab geometry on the lattice, demonstrating current conservation and anomaly inflow with background fields.
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Gauge field flow for chiral gauge theories on a disk boundary
Proposes equation-of-motion flow on square lattice for extending boundary gauge fields into disk interior in 2n-dimensional chiral gauge theories and demonstrates anomaly inflow and cancellation on the lattice.