Work

Chiral edge states on spheres for lattice domain wall fermions

Year: 2025

Type: article

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 S 2 . 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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.111.l031503

Authors: Michael Clancy, David B. Kaplan

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, Universidad Autónoma de Madrid, Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación

Awards: INSTITUTE FOR NUCLEAR THEORY, G1175115578, G1746333638, G222768804, G2233160401, G2262748287, INSTITUTE FOR NUCLEAR THEORY, G282847690, G300979063, G34346518, G3480869486, G425668148, G5080475149, G7084143925

OpenAlex ID: W4407840749

FWCI: 1.107

Cites: 13

Cited by: 3

Related to: 10