Regular Article - Theoretical Physics
Unveiling mapping structures of spinor duals
Departamento de Física e Química, Universidade Estadual Paulista, UNESP, Guaratinguetá, SP, Brazil
* e-mail: firstname.lastname@example.org
Accepted: 31 March 2020
Published online: 17 April 2020
Following the program of investigation of alternative spinor duals potentially applicable to fermions beyond the standard model, we demonstrate explicitly the existence of several well defined spinor duals. Going further we define a mapping structure among them and the conditions under which sets of such dual maps do form a group. We also study the covariance of bilinear quantities constructed with the several possible duals, the invariant eigenspaces of those group elements and its connections with spinors classification, as well as dual maps defined as elements of group algebras.
© The Author(s), 2020