Spinorial structures, discrete symmetries and some consequences

TL;DR

This paper explores the behavior of spin-1/2 fermions under discrete symmetries within Lounesto's classification, revealing new relations between spinor helicity and classification, with implications for their dynamics.

Contribution

It provides a detailed analysis of bi-spinorial structures under discrete symmetries and uncovers a novel connection between spinor helicity and Lounesto's classification.

Findings

Bi-spinorial structures transform under discrete symmetries.

A new relation between spinor helicity and classification.

Implications for fermion dynamics and symmetry behavior.

Abstract

In this paper we discuss fundamental aspects related to the helicity and dynamics of the spin-$1/2$ fermions encompassed within the very well-known Lounesto's classification. More specifically, we investigate how the bi-spinorial structures behave under discrete symmetries, as well as analyse some consequences on the spinors dynamics. In addition, we find an interesting relation between the spinor helicity and the Lounesto spinor classification.