Two non-perturbative α' or loop corrected string cosmological solutions* *Li Song is supported by the Sichuan Science and Technology Program (2022YFG0317). Deyou Chen is supported by the Tianfu talent plan and FXHU.

Abstract

In this paper, we present two non-perturbative string cosmological solutions without curvature singularities for the bosonic gravi-dilaton system. These solutions are general in that they can straightforwardly match the perturbative solution to arbitrarily high orders in the perturbative region. The first solution includes non-perturbative corrections based on Hohm-Zwiebach action. We then use the simple phenomenological map between the and loop corrected theories in string cosmology to construct a non-perturbative loop corrected non-singular solution. Both solutions are non-singular everywhere. Therefore, the pre- and post-big-bangs are smoothly connected by these solutions.