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arXiv · 1101.1619

Exploring a string-like landscape

Jonathan Frazer·Andrew R Liddle
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Abstract

We explore inflationary trajectories within randomly-generated two-dimensional potentials, considered as a toy model of the string landscape. Both the background and perturbation equations are solved numerically, the latter using the two-field formalism of Peterson and Tegmark which fully incorporates the effect of isocurvature perturbations. Sufficient inflation is a rare event, occurring for only roughly one in $10^5$ potentials. For models generating sufficient inflation, we find that the majority of runs satisfy current constraints from WMAP. The scalar spectral index is less than 1 in all runs. The tensor-to-scalar ratio is below the current limit, while typically large enough to be detected by next-generation CMB experiments and perhaps also by Planck. In many cases the inflationary consistency equation is broken by the effect of isocurvature modes.

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Jonathan Frazer, Andrew R Liddle. 2011-01-08. Exploring a string-like landscape. https://doi.org/10.1088/1475-7516/2011/02/026

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