Overlap formulation of Majorana--Weyl fermions

TL;DR

This paper introduces an overlap regularization method for Majorana--Weyl fermions interacting with gauge fields, utilizing a mod(2) index to address chiral symmetry anomalies, primarily in 2D with potential higher-dimensional extensions.

Contribution

It presents a novel overlap formulation for Majorana--Weyl fermions and links a mod(2) index to chiral symmetry anomalies, extending the approach to higher dimensions.

Findings

Overlap regularization for Majorana--Weyl fermions is established.

A mod(2) index relates to chiral symmetry violation.

Method applicable to 2+8k dimensions.

Abstract

An overlap method for regularizing Majorana--Weyl fermions interacting with gauge fields is presented. A mod(2) index is introduced in relation to the anomalous violation of a discrete global chiral symmetry. Most of the paper is restricted to 2 dimensions but generalizations to 2+8k dimensions should be straightforward.