Abstract
In string theory, an important challenge is to show if the big-bang singularity could be resolved by the higher derivative α′ corrections. In this work, based on the Hohm-Zwiebach action, we construct a series of non-singular non-perturbative cosmological solutions with the complete α′ corrections, for the bosonic gravi-dilaton system. In the perturbative regime, these solutions exactly match the perturbative results given in literature. Our results show that the big-bang singularity indeed could be smoothed out by the higher derivative α′ corrections.
Highlights
JHEP10(2019)263 information of these two kinds of corrections
The dilaton appears trivially and only first order time derivatives need to be included. This seminal progress makes it possible to conduct non-perturbative analyses on the stringy effects. They subsequently proved that non-perturbative de-Sitter vacua are possible in bosonic string theory
We proposed a conjecture that the non-perturbative AdS and dS vacua might not be able to coexist in bosonic string theory
Summary
JHEP10(2019)263 information of these two kinds of corrections. As for the quantum loop corrections, a lot of effective dilaton potentials were proposed and the big-bang singularity could be smoothed out by these phenomenological models [9, 10]. In 1990s, Meissner and Veneziano showed that, to the first order in α , when all fields only depend on time, the classical string effective action has an explicit O(d, d) symmetry [1, 19] Sen proved this is true to all orders in α and for configurations independent of m coordinates, the symmetry is O(m, m) [2, 3]. The dilaton appears trivially and only first order time derivatives need to be included This seminal progress makes it possible to conduct non-perturbative analyses on the stringy effects. Based on the Hohm-Zwiebach action, the purpose of this paper is to construct nonperturbative non-singular cosmological solutions One may question this is not viable since only the first two orders in α expansion have been determined and there are infinitely many unknown coefficients.
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