Construct ${\alpha }^{\prime }$ corrected or loop corrected solutions without curvature singularities

Abstract

For the bosonic gravi-dilaton system, we provide systematical approaches to construct non-perturbative string cosmological solutions without curvature singularities, which can match the perturbative solution to any order in ${\alpha }^{\prime }$ expansion. When higher order ${\alpha }^{\prime }$ corrections are calculated, they can be straightforwardly plugged in to generate compatible non-perturbative evolutions without curvature singularities. We also give a (phenomenological) map between ${\alpha }^{\prime }$ corrected EOM and loop corrected EOM. This map enables us to easily generate a loop corrected solution from an ${\alpha }^{\prime }$ corrected solution, and vice versa, therefore substantially enlarges the solution space.

V2: 14 pages, minor corrections, a footnote added in sec. 1, published version

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• Cosmological ${\alpha }^{\prime }$-corrections from the functional renormalization group
• The generalized Bergshoeff-de Roo identification II
• Non-singular pre-big bang scenarios from all-order ${\alpha }^{\prime }$ corrections
• From the string vacuum to FLRW or de Sitter via ${\alpha }^{\prime }$ corrections
• Derive Lovelock Gravity from String Theory in Cosmological Background
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• Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
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• Three dimensional regular black string via loop corrections
• Large $D$ gravity and low $D$ string via ${\alpha }^{\prime }$ corrections
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• Black hole solutions in double field theory
• Revisiting Schwarzschild black hole singularity through string theory