- Letter
- Open Access
Chiral edge states on spheres for lattice domain wall fermions
Phys. Rev. D 111, L031503 – Published 21 February, 2025
DOI: https://doi.org/10.1103/PhysRevD.111.L031503
Abstract
Recently Weyl edge states on manifolds in dimension with a connected -dimensional boundary were proposed as candidates for lattice regularization of chiral gauge theories, for even . The examples considered to date include solid cylinders in any odd dimension, and the 3 ball with boundary . Here we consider the general case of a ()-dimensional ball for any even and show that the theory for the edge states on describe a conventional Weyl fermion on a sphere with half-integer momenta. A possible advantage of such theories is that they can be discretized by a square lattice without breaking the underlying discrete hypercubic symmetry.
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