Abstract
We reformulate in Hamiltonian language the recent proposal by Hohm and Zwiebach of an action yielding the most general O(d, d)-symmetric string cosmology equations, at tree-level in the string-loop expansion, but to all orders in the α′ expansion. This allows us to give a simple characterization of a large class of non-singular, non-perturbative, pre-big bang scenarios smoothly interpolating between a low-energy initial accelerated (string frame) expansion and a phase of final (string and Einstein frame) decelerated expansion. Interestingly, these solutions must necessarily include, just around the bounce, a very short phase of (string-frame) contraction.
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Acknowledgments
MG is supported in part by INFN under the program TAsP: “Theoretical Astroparticle Physics”, and by the research grant number 2017W4HA7S “NAT-NET: Neutrino and Astroparticle Theory Network”, under the program PRIN 2017 funded by the Italian Ministero dell’Università e della Ricerca (MUR). We wish to thank the hospitality and financial support of the Dipartimento di Fisica and Sezione INFN di Pisa, and Pietro Conzinu, Giuseppe Fanizza and Giovanni Marozzi for useful discussions. Finally, we are grateful to Robert Brandenberger, Krzysztof A. Meissner, Jerome Quintin, Peng Wang, Houwen Wu, Haitang Yang, Shuxuan Ying and Barton Zwiebach for their interesting comments and suggestions.
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Gasperini, M., Veneziano, G. Non-singular pre-big bang scenarios from all-order α′ corrections. J. High Energ. Phys. 2023, 144 (2023). https://doi.org/10.1007/JHEP07(2023)144
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DOI: https://doi.org/10.1007/JHEP07(2023)144