Warped de Sitter compactifications

TL;DR

This paper demonstrates the possibility of warped de Sitter compactifications in higher-dimensional gravity theories with a dilaton, form fields, and a cosmological constant, leading to stable de Sitter vacua and cosmological models.

Contribution

It introduces specific conditions under which warped de Sitter solutions exist and constructs a lower-dimensional cosmological model with stabilized moduli.

Findings

Warped de Sitter solutions are achievable in D-dimensional theories.

Moduli can be stabilized at de Sitter minima with non-zero form fields.

Constructed a consistent lower-dimensional cosmological model.

Abstract

We show that the warped de Sitter compactifications are possible under certain conditions in D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that the solutions of field equations give de Sitter spacetime with the warped structure, and discuss cosmological models directly obtained from these solutions. We also construct a cosmological model in the lower-dimensional effective theory. If there is a field strength having non-vanishing components along the internal space, the moduli can be fixed at the minimum of the effective potential where a de Sitter vacuum can be obtained.