CPT Symmetry and Its Breaking in the Chiral Fermion Formalism

Abstract

In this paper, we review the fundamental aspects of N = 1 supergravity (SUGRA) and employ the chiral formalism to describe spin-32 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.

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