Modular Quantum Cosmology

TL;DR

This paper explores quantum cosmology solutions in a supergravity framework, addressing inflation and the cosmological constant problem through wave functions, and finds topological inflation and a natural solution to the cosmological constant issue.

Contribution

It introduces a quantum cosmology model with S-modular invariance, providing new insights into inflation and the cosmological constant problem within supergravity.

Findings

Topological type inflation is consistent quantum mechanically.

A natural solution to the cosmological constant problem emerges.

Wave functions support inflationary scenarios.

Abstract

We study solutions of the Wheeler-DeWitt equation corresponding to an S-modular invariant N=1 supergravity model and a closed homogeneous and isotropic Friedmann-Robertson-Walker spacetime. The issues of inflation and of the cosmological constant problem are addressed with the help of the relevant wave functions. We find that topological type inflation is consistent from the quantum mechanical point of view and that a solution for the cosmological constant problem along the lines of the strong CP problem naturally arises.