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.
Kaplan,Chiral edge states on spheres for lattice domain wall fermions, Phys
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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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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.