Spinorial discrete symmetries and adjoint structures

Extending the investigations about the theory of duals, we analyze duals built up with the aid of discrete symmetry operators. We scrutinize algebraic and physical constraints (encompassing them in a theoretical scope) in order to verify which combination of discrete symmetries may compose a physical and mathematical well-posed spinorial dual. In this scenario, we relate the Lounesto classification with several other spinor classification possibilities, attempting to connect classes and physical constraints. Several possibilities are investigated.

Automated summary

In this article, we investigate the construction of spinorial duals using discrete symmetry operators. By examining algebraic and physical constraints, we aim to determine the combinations of discrete symmetries that can form well-posed spinorial duals. The Lounesto classification is related to other spinor classification possibilities in order to establish connections between classes and physical constraints.