(J,0)+(0,j) Representation Space: Majorana-Like Construct

TL;DR

This paper introduces a Majorana-like construct within the ,j) ,j) representation space, expanding on Dirac-like fields and providing a detailed theoretical framework for these fields in the context of high-energy physics.

Contribution

It presents a novel Majorana-like field construction in the ,j) ,j) representation space, extending the theoretical understanding of fermionic fields beyond Dirac formulations.

Findings

Develops a detailed theoretical construction of Majorana-like fields in the ,j) ,j) space.

Provides insights into the properties and potential applications of these fields in particle physics.

Enhances the mathematical framework for understanding fermionic representations in the Standard Model and beyond.

Abstract

This is second of the two invited lectures presented (by D. V. Ahluwalia) at the ``XVII International School of Theoretical Physics: Standard Model and Beyond' 93.'' The text is essentially based on a recent publication by the present authors [Mod. Phys. Lett. A (in press)]. Here, after briefly reviewing the $(j,0)\oplus(0,j)$ Dirac-like construct in the front form, we present a detailed construction of the $(j,0)\oplus(0,j)$ Majorana-like fields.