Chiral gauge theory at the boundary between topological phases

Author:

David B. Kaplan

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat), Strongly Correlated Electrons (cond-mat.str-el), High Energy Physics - Theory (hep-th)

journal:

INT-PUB-23-045

date:

2023-12-03 00:00:00

Abstract

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

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