Fermion number on a domain wall equals -(e/4π²) times the chiral angle difference times the magnetic flux, giving Chern-Simons level -Δθ/2π.
Solitons with Fermion Number 1/2 in Con- densed Matter and Relativistic Field Theories,
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Fractional Fermion Number and Hall Conductivity of Domain Walls
Fermion number on a domain wall equals -(e/4π²) times the chiral angle difference times the magnetic flux, giving Chern-Simons level -Δθ/2π.