Duality and cosmological compactification of superstrings with unbroken supersymmetry

TL;DR

This paper investigates superstring-derived supergravity theories with unbroken supersymmetry, applying duality transformations to find novel cosmological solutions that feature nontrivial scale factors and dynamical dilatons, including non-singular models.

Contribution

It introduces a duality approach to solve cosmological compactification equations in superstring theory with unbroken supersymmetry, revealing new non-singular solutions.

Findings

Existence of solutions with nontrivial scale factors

Discovery of solutions with dynamical dilaton fields

Identification of cosmological models without initial singularity

Abstract

The cosmological compactification of D=10, N=1 supergravity-super-Yang-Mills theory obtained from superstring theory is studied. The constraint of unbroken N=1 supersymmetry is imposed. A duality transformation is performed on the resulting consistency conditions. The original equations as well as the transformed equations are solved numerically to obtain new configurations with a nontrivial scale factor and a dynamical dilaton. It is shown that various classes of solutions are possible, which include cosmological solutions with no initial singularity.