Fermions in (Anti) de Sitter Gravity in Four Dimensions

TL;DR

This paper explores fermion actions in four-dimensional (anti) de Sitter gravity, proposing new formulations that enable Weyl or Majorana fermions when symmetry is reduced to the Lorentz group in curved spacetime.

Contribution

It introduces novel fermion actions in (A)dS gravity that facilitate the derivation of Weyl or Majorana fermions upon symmetry breaking.

Findings

New fermion actions compatible with (A)dS gravity

Method to obtain Weyl/Majorana fermions in curved spacetime

Framework for symmetry breaking from (A)dS to Lorentz group

Abstract

Fermions in (anti) de Sitter gravity theory in four dimensions are considered. Especially we propose new fermion actions to derive a Weyl or Majorana fermion action if we break the AdS (dS) group to the Lorentz group in curved spacetime.