An Example of Higher Weight Superpotential Interaction in the Heterotic String on Orbifolds

TL;DR

This paper provides an explicit heterotic string orbifold example demonstrating non-zero correlation functions that contribute to Higgs mass terms, showing their modular invariance and consistency with fixed point transformations.

Contribution

It presents a specific orbifold model illustrating higher weight superpotential interactions and their modular properties in heterotic string theory.

Findings

Correlation functions related to Higgs mass terms are non-zero.

These functions form finite-dimensional representations of SL_2(Z).

Modular invariance is confirmed for the twisted fields.

Abstract

An explicit orbifold example of the non-zero correlation functions related to the additional contribution to the induced mass term for Higgs particles at low energies is given. We verify that they form finite dimensional representations of the target space modular transformation $SL_2(Z)$. This action of the modular group is shown to be consistent with its action on the fixed points set defining the twisted fields.