Stringy corrections to a time-dependent background solution of string and M-Theory

Abstract

We consider one of the simplest time-dependent backgrounds in M-theory, describing the shrinking away of the M-theory dimension with the other spatial dimensions static. As the M-theory dimension becomes small, the situation becomes well-described by string theory in a singular cosmological background where the string coupling tends to zero but the ${\alpha }^{\prime }$-corrections become large, near the cosmic singularity. We compute these ${\alpha }^{\prime }$-corrections, both for the background and for linearized perturbations, in heterotic string theory, and show they may be reproduced by a map from eleven-dimensional M-theory.

22 pages, 4 figures

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• On the Quantum Resolution of Cosmological Singularities using AdS/CFT
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• Towards the Raychaudhuri Equation Beyond General Relativity
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• Null cosmological singularities and free strings: II
• Null cosmological singularities and free strings
• Non-critical anisotropic Bianchi type $I$ string cosmology with ${\alpha }^{\prime }$-corrections
• Braneworld Isotropization and Magnetic Fields
• The string wave function across a Kasner singularity
• Anisotropic homogeneous string cosmology with two-loop corrections
• More on the dilatonic Einstein-Gauss-Bonnet gravity
• Alpha-prime corrections to space-like branes
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory