English

Chiral gauge theory at the boundary between topological phases

High Energy Physics - Lattice 2024-03-15 v3 Strongly Correlated Electrons High Energy Physics - Theory

Abstract

I demonstrate how chiral fermions with an exact gauge symmetry can appear on the d-dimensional boundary of a finite volume (d+1)-dimensional manifold, without any light mirror partners. The condition for the d-dimensional boundary theory to be local is that gauge anomalies cancel and that the volume be large. This can likely be achieved on a lattice and provides a new paradigm for the lattice regularization of chiral gauge theories.

Keywords

Cite

@article{arxiv.2312.01494,
  title  = {Chiral gauge theory at the boundary between topological phases},
  author = {David B. Kaplan},
  journal= {arXiv preprint arXiv:2312.01494},
  year   = {2024}
}

Comments

V3: updated to version accepted for publication by Phys. Rev. Lett. on Jan. 21, 2024. Rendered more concise, no changes in the physics