Unveiling mapping structures of spinor duals

Abstract 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 whic...

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Bibliographic Details
Main Authors: R. T. Cavalcanti, J. M. Hoff da Silva
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-7896-8
Description
Summary:Abstract 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.
ISSN:1434-6044
1434-6052