Non-Uniqueness of Classical Inflationary Trajectories on a High-Dimensional Landscape

Abstract

Motivated by the string landscape, inflation may happen on a high dimensional complicated potential. We propose a new way to construct some high dimensional random potentials, and study inflation on top of that, for up to 50-dimensions in field space. Especially, random bifurcations of classical inflationary trajectory are studied. It is shown that the bifurcation probability increases as a function of number of dimensions. Those random bifurcations are not consistent with observations, and dramatically limit the parameter space of inflation on a complicated landscape. For example, in 10 dimensions, only $10^{-3}\sim 10^{-6}$ of the parameter space volume leads to unique classical trajectories. The rest is ruled out by random bifurcations.

References in corpus (7)

• Aligned Natural Inflation in String Theory
• Brane Inflation : String Theory viewed from the Cosmos
• Combining Universal and Odd RR Axions for Aligned Natural Inflation
• Inflationary power asymmetry from primordial domain walls
• Disorder in the Early Universe
• The Cosmological Constant Problem and Inflation in the String Landscape
• Local random potentials of high differentiability to model the Landscape

Cited by in corpus (2)

• Transitions between topologically non-trivial configurations
• Lattice Simulation of Multi-Stream Inflation