On Warped String Vacuum Profiles and Cosmologies, I. Supersymmetric Strngs

TL;DR

This paper explores supergravity solutions with warped geometries, revealing supersymmetric and non-supersymmetric vacua, their boundary behaviors, and cosmological models with bounded string coupling.

Contribution

It classifies new warped supergravity solutions with fluxes, analyzing their boundary conditions, supersymmetry properties, and cosmological implications.

Findings

Supersymmetric vacua exhibit universal behavior at the origin.

Non-supersymmetric solutions relate to no-flux backgrounds.

Some cosmologies maintain finite string coupling throughout evolution.

Abstract

We investigate in detail solutions of supergravity that involve warped products of flat geometries of the type M(p+1) x R x T(D-p-2) depending on a single coordinate. In the absence of fluxes, the solutions include flat space and Kasner-like vacua that break all supersymmetries. In the presence of a symmetric flux, there are three families of solutions that are characterized by a pair of boundaries and have a singularity at one of them, the origin. The first family comprises supersymmetric vacua, which capture a universal limiting behavior at the origin. The first and second families also contain non--supersymmetric solutions whose behavior at the other boundary, which can lie at a finite or infinite distance, is captured by the no--flux solutions. The solutions of the third family have a second boundary at a finite distance where they approach again the supersymmetric backgrounds. These vacua exhibit a variety of interesting scenarios, which include compactifications on finite intervals and (p+1)-dimensional effective theories where the string coupling has an upper bound. We also build corresponding cosmologies, and in some of them the string coupling can be finite throughout the evolution.