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

Peng Wang; Houwen Wu; Haitang Yang; Shuxuan Ying

doi:10.1007/jhep01(2020)164

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arXiv · 1910.05808

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

Peng Wang·Houwen Wu·Haitang Yang·Shuxuan Ying

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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.

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Peng Wang, Houwen Wu, Haitang Yang, Shuxuan Ying. 2019-10-13. Construct $\alpha^{\prime}$ corrected or loop corrected solutions without curvature singularities. https://doi.org/10.1007/jhep01(2020)164

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