Compactness of Brane Moduli and the String Lamppost Principle in $d>6$

TL;DR

This paper provides evidence supporting the String Lamppost Principle in dimensions greater than six by analyzing the moduli space of small instantons and the Coulomb branch in supersymmetric theories, reinforcing the idea that all consistent quantum gravity theories are within string theory.

Contribution

It extends the validation of the String Lamppost Principle to higher dimensions using compactness and connectedness properties of moduli spaces in supersymmetric theories.

Findings

Confirmed the String Lamppost Principle for $d>6$ theories.

Analyzed the moduli space of small instantons and Coulomb branch classifications.

Demonstrated the role of compactness and connectedness in these moduli spaces.

Abstract

We demonstrate the validity of the String Lamppost Principle-that all consistent theories of quantum gravity are in the String Landscape-for supersymmetric theories in $d>6$ using compactness and connectedness of the moduli space of small instantons, as well as the classification of the associated Coulomb branch.