Cosmological Perturbations via Quantum Corrections in M-theory

Abstract

In the early universe it is important to take into account quantum effect of the gravity to explain the feature of the inflation. In this paper, we consider the M-theory effective action which consists of 11 dimensional supergravity and (Weyl)${}^4$ terms. The equations of motion are solved perturbatively, and the solution describes the inflation-like expansion in 4 dimensional spacetime. Scalar and tensor perturbations around this background are evaluated analytically and their behaviors are investigated numerically. If we assume that these perturbations are constant at the beginning of the inflation, spectral indices for scalar and tensor perturbations become almost scale invariant.

arXiv comment21 pages, 5 figures, a reference added

References in corpus (23)

• de Sitter Vacua in String Theory
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• The Standard Model Higgs boson as the inflaton
• Hybrid Inflation
• Supergravity description of field theories on curved manifolds and a no go theorem
• Distance and de Sitter Conjectures on the Swampland
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• Effective Field Theory for Inflation
• De Sitter Space and the Swampland
• Hilltop Inflation
• Where new gravitational physics comes from: M-theory?
• Thoughts on Tachyon Cosmology
• Gauge Theory at Large N and New G_2 Holonomy Metrics
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Inflation from Superstring/M Theory Compactification with Higher Order Corrections I
• Inflation from M-Theory with Fourth-order Corrections and Large Extra Dimensions
• The Supersymmetric Effective Action of the Heterotic String in Ten Dimensions
• Toward the Determination of R^3F^2 Terms in M-theory
• Infinity in string cosmology: A review through open problems
• R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry
• Inflationary Cosmology via Quantum Corrections in M-theory
• Scalar Cosmological Perturbations in M-theory with Higher Derivative Corrections