CPT Symmetry and Its Breaking in the Chiral Fermion Formalism

TL;DR

This paper reviews CPT symmetry and its potential breaking within the chiral fermion formalism, focusing on supergravity, gravitons, and gravitinos, and explores Lorentz-violating extensions in these theories.

Contribution

It introduces the use of chiral formalism to analyze CPT symmetry and Lorentz violation in supergravity and Rarita-Schwinger theories, extending previous models.

Findings

Chiral formalism effectively classifies Lorentz-violating terms.

Analysis of CPT symmetry in supergravity and linearized gravity.

Extension of models to include Lorentz-violating operators.

Abstract

In this paper, we review the fundamental aspects of ${\cal N} = 1$ supergravity (SUGRA) and employ the chiral formalism to describe spin-$\frac{3}{2}$ fermions. Armed with this, we analyze the discrete symmetries of the graviton in the context of linearized gravity (LG) and Rarita-Schwinger (RS) fields, which include the description of the gravitino. Additionally, we highlight the advantages of the chiral formalism in classifying Lorentz and CPT-violating terms in RS theories, extending these models by including Lorentz-violating operators, as has been done in LG.