Four-dimensional graphene and chiral fermions

TL;DR

This paper generalizes the electronic structure of graphene to four dimensions, resulting in a local fermion action with exact chiral symmetry that involves two species, aligning with theoretical constraints.

Contribution

It introduces a four-dimensional extension of graphene's Dirac-based model, achieving a local fermion action with chiral symmetry and minimal species count.

Findings

Provides a four-dimensional fermion action with exact chiral symmetry.

Achieves the minimal number of species as dictated by no-go theorems.

Extends graphene physics to higher-dimensional theoretical frameworks.

Abstract

Motivated by the description of the graphene electronic structure in terms of the relativistic Dirac equation, a generalization to four dimensions yields a strictly local fermion action describing two species and possessing an exact chiral symmetry. This is the minimum number of species required by the well known ``no-go'' theorems.