A lattice formulation of the Atiyah-Patodi-Singer index is built using spectral flow of domain-wall Dirac operators generalized beyond product boundaries and proven to recover the continuum index for small enough lattice spacing.
3, 033B05, available at2212.11583
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
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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Capturing the Atiyah-Patodi-Singer index from the lattice
A lattice formulation of the Atiyah-Patodi-Singer index is built using spectral flow of domain-wall Dirac operators generalized beyond product boundaries and proven to recover the continuum index for small enough lattice spacing.
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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.