One-loop bosonic string and De Sitter space

Abstract

We calculate the bosonic string one-loop three- and four-point amplitudes to quadradic order in momentum, and we read off the one-loop low-energy two-derivative effective action for the massless fields, $S_{eff}$. Treating the renormalized one-loop vacuum energy as a tunable parameter and extrapolating to a supercritical dimension $D>26$, one can reach a regime where the one-loop couplings in Seff are of the same order as the tree-level ones while all higher-loop corrections are negligible. Moreover the effective spacetime curvature is small in string units. We show that the effective action thus obtained admits weakly-curved de Sitter solutions with constant dilaton at small string coupling.

arXiv comment40 pages. v2: conclusions section extended, published version

References in corpus (14)

• The String Dilaton and a Least Coupling Principle
• Pre-Big-Bang in String Cosmology
• Elements of String Cosmology
• Low energy effective string cosmology
• The low energy expansion of the one-loop type II superstring amplitude
• Tree-level String Cosmology
• Towards a Non-Supersymmetric String Phenomenology
• On the modular structure of the genus-one Type II superstring low energy expansion
• Dilaton, winding modes and cosmological solutions
• Cosmological solutions with dilaton and maximally symmetric space in string theory
• Cosmological solutions of supercritical string theory
• Tropical Amplitudes
• On `rolling moduli' solutions in string cosmology
• Higher Loop String Cosmology with Moduli and Antisymmetric Tensor Field