Nonstandard Parafermions and String Compactification

TL;DR

This paper constructs new superconformal field theories using nonstandard parafermions and explores their applications in string compactification, resulting in models with realistic features like three net generations.

Contribution

It introduces novel N=2 superconformal field theories based on nonstandard parafermions and demonstrates their use in string compactification with realistic particle generations.

Findings

Constructed new superconformal theories with specific central charges.

Analyzed the spectrum and modular properties of these theories.

Produced a string model with three net generations.

Abstract

Nonstandard parafermions are built and their central charges and dimensions are calculated. We then construct new N=2 superconformal field theories by tensoring the parafermions with a free boson. We study the spectrum and modular transformations of these theories. Superstring and heterotic strings in four dimensions are then obtained by tensoring the new superconformal field theories along with some minimal models. The generations and antigenerations are studied. We give an example of the $1^2(5,7)$ theory which is shown to have three net generations.