A Stringy Wave Function for an S^3 Cosmology

TL;DR

This paper proposes a string-inspired wave function for scalar fluctuations in an S^3 cosmology, linking quantum cosmology with topological string theory and non-critical bosonic strings at the self-dual radius.

Contribution

It introduces a novel wave function model for cosmological fluctuations based on topological string partition functions and non-critical string theory.

Findings

Connects Hartle-Hawking wave function with topological strings

Models scalar fluctuations in S^3 cosmology using string theory

Provides a stringy toy model for quantum cosmology

Abstract

Using the recent observations of the relation between Hartle-Hawking wave function and topological string partition function, we propose a wave function for scalar metric fluctuations on S^3 embedded in a Calabi-Yau. This problem maps to a study of non-critical bosonic string propagating on a circle at the self-dual radius. This can be viewed as a stringy toy model for a quantum cosmology.