Chiral edge states on spheres for lattice domain wall fermions

2024/10/30 by Michael J. Clancy, David B. Kaplan, Clancy, Michael +1 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #Rare-earth and actinide compounds

paper · pdf · doi:10.48550/arxiv.2410.23065

openalex publication_date 2024/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Recently Weyl edge states on manifolds in dimension d+1 with a connected d-dimensional boundary were proposed as candidates for lattice regularization of chiral gauge theories, for even d. The examples considered to date include solid cylinders in any odd dimension, and the 3-ball with boundary S². Here we consider the general case of a (d+1)-dimensional ball for any even d and show that the theory for the edge states on S^d 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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