A Note on Positive Energy Theorem for Spaces with Asymptotic SUSY Compactification

TL;DR

This paper extends the positive mass theorem to Lorentzian spaces with asymptotic supersymmetric compactification, generalizing previous results in higher dimensions with spinor proof techniques.

Contribution

It broadens the positive energy theorem to Lorentzian settings with asymptotic SUSY compactification, including higher dimensions.

Findings

Extension of positive mass theorem to Lorentzian spaces

Inclusion of higher-dimensional cases with spinor proof

Generalization of previous positive energy results

Abstract

We extend the positive mass theorem proved previously by the author to the Lorentzian setting. This includes the original higher dimensional positive energy theorem whose spinor proof was given by Witten in dimension four and by Xiao Zhang in dimension five.