Dilaton Stabilization in (A)dS Spacetime with Compactified Dimensions

TL;DR

This paper explores how the dilaton field stabilizes in a higher-dimensional supergravity model with a product spacetime, leading to a transition from de Sitter to anti-de Sitter universe after extra dimension stabilization.

Contribution

It demonstrates a mechanism for dilaton stabilization in a Kaluza-Klein framework with quantum effects, resulting in a stable extra dimension and a universe evolving from dS_4 to AdS_4.

Findings

Dilaton potential has a local minimum due to cosmological constant, curvature, and quantum effects.

The extra dimensions become time-independent after stabilization.

The universe transitions from de Sitter to anti-de Sitter spacetime post-stabilization.

Abstract

We investigate dilaton stabilization in a higher-dimensional theory. The background geometry is based on an eleven-dimensional Kaluza-Klein/supergravity model, which is assumed to be a product of four-dimensional de Sitter (dS_4) spacetime and a seven sphere. The dilaton potential has a local minimum resulting from contributions of the cosmological constant, the curvature of the internal spacetime and quantum effects of the background scalar, vector, spinor, and tensor fields. The dilaton settles down to the local minimum, and the scale of the extra dimensions eventually become time independent. Our four-dimensional universe evolves from dS_4 into AdS_4 after stabilization of the extra dimension.