Embedding of the Georgi-Glashow $SU(5)$ model in the superconformal algebra

TL;DR

This paper introduces a novel scheme for constructing grand unified models using superconformal algebra, exemplified by embedding the Georgi-Glashow SU(5) model, predicting new hidden sectors and anomalous symmetries.

Contribution

It presents a new method to embed GUT models within superconformal algebra, including matter fields in the adjoint representation, demonstrated through the SU(5) model.

Findings

Predicts a hidden sector with specific representations.

Identifies an anomalous U(1)_Z symmetry.

Provides a framework for superconformal GUT embedding.

Abstract

We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint representation of supersymmetry. As an illustration, we implemented the Georgi-Glashow $SU(5)$ model. The model predics the existence of a hidden $(\mathbf{1},\mathbf{24},0) + (\mathbf{5},\mathbf{5}^\ast,-y') + (\mathbf{5}^\ast,\mathbf{5},y')$ sector and an anomalous $U(1)_Z$.