Chiral fermions on lattice axion strings

I discretize axion string configuration coupled to a Dirac fermion, which in the continuum binds massless chiral fermion its core when winding is one. show that such can host one or more fermions regulated on lattice. To realize these introduce Wilson-like terms similar Wilson term used lattice domain wall fermions. The number of jumps as parameter varied with respect other mass scales problem. A one-loop Feynman diagram demonstrate how anomaly inflow works this regularized theory.