Cosmology at the top of the ${\alpha }^{\prime }$ tower

Abstract

The cosmology of the fully ${\alpha }^{\prime }$-corrected duality-invariant action for the Neveu-Schwarz sector of string theory is revisited, with special emphasis on its coupling to matter sources. The role of the duality covariant pressure and dilatonic charge of the matter sector is explored in various contexts, from the low-curvature regime to non-perturbative solutions in ${\alpha }^{\prime }$. We comment on how an infinite tower of ${\alpha }^{\prime }$ corrections allows for fixed-dilaton de Sitter solutions, even in vacuum. We further investigate the necessary conditions for accelerated expansion in the Einstein frame, as well as for non-singular bounces that could resolve the big bang singularity. In particular, explicit examples are constructed, which show that the tower of ${\alpha }^{\prime }$ corrections may support an Einstein-frame non-singular cosmological bouncing background, even when the matter sector respects the null energy condition.

37 pages, 5 figures; v2: minor changes, references added; v3: minor changes, matches published version

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Cited by in corpus (14)

• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• 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
• The inheritance of energy conditions: Revisiting no-go theorems in string compactifications
• Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology
• Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
• Non-linear stability of ${\alpha }^{\prime }$-corrected Friedmann equations
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Late-time Cosmology without Dark Sector but with Closed String Massless Sector
• Stability Analysis of the Cosmological Dynamics of $O(D,D)$-complete Stringy Gravity
• Two non-perturbative ${\alpha }^{\prime }$ corrected or loop corrected string cosmological solutions
• The four-dimensional null energy condition as a swampland conjecture