Infinity Wars: Three Types of Singularities in Non-supersymmetric Canonical Gravity and String Theory

TL;DR

This paper analyzes three distinct types of infinities in non-supersymmetric gravity and string theory, including UV singularities, classical cosmological singularities, and quantum cosmology infinities, exploring their origins and potential resolutions.

Contribution

It provides a comprehensive classification and discussion of different infinities in non-supersymmetric theories, linking perturbative, classical, and quantum aspects.

Findings

Identification of UV perturbative singularities and their relation to loop corrections.

Analysis of classical cosmological singularities in specific non-supersymmetric models.

Discussion of quantum cosmology infinities and the role of string theory in addressing them.

Abstract

We discuss three separate types of infinities that occur in non-supersymmetric canonical gravity and string theory. We consider UV perturbative singularities in non-supersymmetric gravity coupled to matter and how these are related to loop corrections to beta functions for non-supersymmetric strings. Next we consider classical cosmological singularities that occur in these equations and discuss a specific singular cosmology of Dudas and Mourad for non-supersymmetric string theory. Finally we discuss the infinities that occur in quantum cosmology associated with topology change and discuss how non-supersymmetric string quantum cosmology can be used to address them.