The EP Model and its Completion Terms (E4)

TL;DR

This paper introduces a simple Exotic Invariant model with two chiral supermultiplets, demonstrating how constraints and completion terms can be understood, aiding the comprehension of more complex Exotic Models in supersymmetry.

Contribution

It presents a simplified example of an Exotic Invariant with constraints and conjectured completion terms, facilitating understanding of more complex supersymmetric models.

Findings

Constraint solutions are straightforward in the simple EP model.

The conjecture for Completion Terms is supported by the simple example.

The model provides insights into the Exotic Invariant in the E6 model.

Abstract

Here we present the simple example of an Exotic Invariant with just two chiral electron supermultiplets E and P. In this example we include a mass term, and that means that there is a constraint on the Exotic Invariant. The constraint is easily solved for this simple case. Here we also exhibit a simple conjecture for the Completion Terms. This simple example is very useful, because the constraint that arises in the case of the Exotic Model, presented in E6, is just as easy to solve, and the Completion Terms there are also very similar to those here. So this simple EP model is very useful for understanding the Exotic Model, which is what results from adding an Exotic Invariant to the rather complicated Supersymmetric Standard Model.