2D Black Holes, Bianchi I Cosmologies, and ${\alpha }^{\prime }$

Abstract

We report two surprising results on ${\alpha }^{\prime }$ corrections in string theory restricted to massless fields. First, for critical dimension Bianchi type I cosmologies with $q$ scale factors only $q-1$ of them have non-trivial ${\alpha }^{\prime }$ corrections. In particular, for FRW backgrounds all ${\alpha }^{\prime }$ corrections are trivial. Second, in non-critical dimensions, all terms in the spacetime action other than the cosmological term are field redefinition equivalent to terms with arbitrarily many derivatives, with the latter generally of the same order. Assuming an ${\alpha }^{\prime }$ expansion with coefficients that fall off sufficiently fast, we consider field redefinitions consistent with this fall-off and classify the higher derivative terms for two-dimensional string theory with one timelike isometry. This most general duality-invariant theory permits black-hole solutions, and we provide perturbative and non-perturbative tools to explore them.

arXiv comment41 pages, V2 - references added

References in corpus (25)

• Double Field Theory
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• Towards a non-singular pre-big bang cosmology
• Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String Vacua
• Symmetries of higher-order string gravity actions
• Doubled α'-Geometry
• Double Field Theory at Order ${\alpha }^{\prime }$
• Duality Invariant Cosmology to all Orders in ${\alpha }^{\prime }$
• O$(d,d)$ covariant String Cosmology to all orders in ${\alpha }^{\prime }$
• Non-perturbative de Sitter vacua via ${\alpha }^{\prime }$ corrections
• Black Hole Non-Formation in the Matrix Model
• Non-Singularity of the Exact Two-Dimensional String Black Hole
• On field redefinitions and exact solutions in string theory
• Non-singular string cosmology via ${\alpha }^{\prime }$ corrections
• String Dualities at Order ${\alpha }^{\prime 3}$
• String Cosmology backgrounds from Classical String Geometry
• ${\alpha }^{\prime }$-Cosmology: solutions and stability analysis
• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• New non-perturbative de Sitter vacua in ${\alpha }^{\prime }$-complete cosmology
• Initial value problem in string-inspired nonlocal field theory
• Are nonperturbative AdS vacua possible in bosonic string theory?
• Derive Lovelock Gravity from String Theory in Cosmological Background
• An ${\alpha }^{\prime }$-complete theory of cosmology and its tensionless limit
• Cosmological Perturbations in Double Field Theory

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• From the string vacuum to FLRW or de Sitter via ${\alpha }^{\prime }$ corrections
• Large $D$ gravity and low $D$ string via ${\alpha }^{\prime }$ corrections