Field Theory in 2T-physics with N=1 Supersymmetry

TL;DR

This paper develops N=1 supersymmetric field theory in 4+2 dimensions within the 2T-physics framework, showing how it reduces to familiar 3+1 dimensional theories with additional constraints, advancing the understanding of higher-dimensional unification.

Contribution

It constructs the first consistent N=1 supersymmetric field theory in 4+2 dimensions compatible with 2T-physics gauge symmetries, linking higher-dimensional theories to 4D physics.

Findings

The theory is uniquely fixed by SUSY and gauge symmetries.

Reduction to 3+1 dimensions yields familiar SUSY theories with extra constraints.

Provides a new perspective on unification in higher dimensions.

Abstract

We construct N=1 supersymmetric field theory in 4+2 dimensions compatible with the theoretical framework of 2T physics and its gauge symmetries. The fields are arranged into 4+2 dimensional chiral and vector supermultiplets, and their interactions are uniquely fixed by SUSY and 2T-physics gauge symmetries. In a particular gauge the 4+2 theory reduces to ordinary supersymmetric field theory in 3+1 dimensions without any Kaluza-Klein remnants, but with some additional constraints in 3+1 dimensions of interesting phenomenological relevance. This construction is another significant step in the development of 2T-physics as a structure that stands above 1T-physics.