Supercritical String Cosmology drains the Swampland

Abstract

The First and Second Swampland Conjectures (FSC & SSC) are substantially modified in non-critical string cosmology, in which cosmic time is identified with the time-like Liouville mode of the supercritical string. In this scenario the Friedmann equation receives additional contributions due to the non-criticality of the string. These are potentially important when one seeks to apply the Bousso bound for the entropy of states that may become light as the dilaton takes on trans-Planckian values, as in a de Sitter phase, and restore consistency with the FSC and in at least some cases also the SSC. The weak gravity conjecture (WGC) for scalar potentials is saturated in the supercritical string scenarios discussed in this work, but only if one uses the dilaton as appears in the string effective action, with a kinetic term that is not canonically normalised. In the case of a non-critical Starobinsky potential, the WGC is satisfied by both the canonically-normalised dilaton and the dilaton used in the string effective action.

arXiv comment30 pages, 1 figure, amended version with an extra subsection on Embedding the supercritical string cosmology into microscopic conformal field theory models; no effects on conclusions, version to be published in Physical Review D

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• Resolving the $(g-2{)}_{\mu }$ Discrepancy with $\mathcal{F}$-$SU$(5) Intersecting D-branes
• Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture
• String-Inspired Running Vacuum, the "Vacuumon", and the Swampland Criteria
• Spinning No-Scale $\mathcal{F}$-$SU$(5) in the Right Direction
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme