Electro-weak Model within a 5-dimensional Lorentz group theory

TL;DR

This paper proposes a geometrical formulation of the Electroweak model within a five-dimensional Riemann-Cartan framework, integrating Klein's scheme and exploring Ashtekar formalism adaptation.

Contribution

It introduces a novel geometrization of the Electroweak model using a 5-D Lorentz group, combining Klein's scheme and contortion fields, and investigates Ashtekar formalism in this context.

Findings

Electroweak symmetry is geometrized in 5-D framework.

Weak hyper-charge is modeled via Klein's scheme.

Potential integration of Ashtekar formalism in higher dimensions.

Abstract

The Electroweak model will be geometrized in a 5-D Riemann-Cartan framework: U(1) weak hyper-charge group will be worked out in a Klauza-Klein scheme, while SU(2) weak isospin group will be identified to suitable bein projections of the contortion field. The possibility of introducing Ashtekar formalism in 5-D Klauza-Klein theories will be investigated.