New String Theories And Their Generation Number

TL;DR

This paper constructs new four-dimensional heterotic string theories using tensor products of SCFTs, identifies their particle generation numbers, and finds that only one theory predicts three generations, aligning with observed reality.

Contribution

It introduces a method to generate and classify new heterotic string theories and identifies the unique theory predicting three generations.

Findings

Only the {6} theory predicts three generations.

All constructed theories are classified and their particle generations determined.

The {6} theory is a promising candidate for realistic string phenomenology.

Abstract

New heterotic string theories in four dimensions are constructed by tensoring a nonstandard SCFT along with some minimal SCFT's. All such theories are identified and their particle generation number is found. We prove that from the infinite number of new heterotic string theories only the {6} theory predicts three generations as seen in nature which makes it an interesting candidate for further study.