General String Cosmologies at Order ${\alpha }^{\prime }{}^3$

Abstract

We compute the cosmological reduction of general string theories, including bosonic, heterotic and type II string theory to order ${\alpha }^{\prime 3}$, i.e., with up to eight derivatives. To this end we refine recently introduced methods that allow one to bring the reduced theory in one dimension to a canonical form with only first-order time derivatives. The resulting theories are compatible with a continuous $O(d,d,\mathbb{R})$ invariance, which in turn fixes the B-field couplings.

arXiv commentv2: 20 pages, important corrections that affect the coefficient $c_{4,1}$ for bosonic and heterotic string theory; all other results unchanged

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Cited by in corpus (18)

• Higher Derivative Supergravities in Diverse Dimensions
• 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
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Completing $R^4$ using $O(d,d)$
• Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
• $O(25,25)$ symmetry of bosonic string theory at order ${\alpha }^{\prime 2}$
• An ${\alpha }^{\prime }$-complete theory of cosmology and its tensionless limit
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections
• 2D Black Holes, Bianchi I Cosmologies, and ${\alpha }^{\prime }$
• Non-linear stability of ${\alpha }^{\prime }$-corrected Friedmann equations
• Two-dimensional regular string black hole via complete ${\alpha }^{\prime }$ corrections
• Six-Derivative Yang-Mills Couplings in Heterotic String Theory
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Duality invariant string beta functions at two loops
• Two non-perturbative ${\alpha }^{\prime }$ corrected or loop corrected string cosmological solutions
• Revisiting Schwarzschild black hole singularity through string theory
• Duality covariant field redefinitions