Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2011/09/002
Keywords
inflation; string theory and cosmology
Funding
- NSF [AST0844825, PHY0555216, PHY-0757868]
- NASA [NNX08AH27G]
- Research Corporation
- Alfred P. Sloan Foundation
- Institute for Advanced Study, Hong Kong University of Science and Technology
- Direct For Mathematical & Physical Scien
- Division Of Astronomical Sciences [0844825] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [757868] Funding Source: National Science Foundation
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We study the six-field dynamics of D3-brane inflation for a general scalar potential on the conifold, finding simple, universal behavior. We numerically evolve the equations of motion for an ensemble of more than 7 center dot 10(7) realizations, drawing the coefficients in the scalar potential from statistical distributions whose detailed properties have demonstrably small effects on our results. When prolonged inflation occurs, it has a characteristic form: the D3-brane initially moves rapidly in the angular directions, spirals down to an inflection point in the potential, and settles into single-field inflation. The probability of N-e e-folds of inflation is a power law, P(N-e) proportional to N-e(-3), and we derive the same exponent from a simple analytical model. The success of inflation is relatively insensitive to the initial position: we find attractor behavior in the angular directions, and the D3-brane can begin far above the inflection point without overshooting. Initial radial or angular velocities, on the other hand, can have a significant effect on the duration of inflation. In favorable regions of the spaces of initial velocities and of Lagrangian parameters, models yielding 60 e-folds of expansion arise approximately once in 10(3) trials. Realizations that are effectively single-field and give rise to a primordial spectrum of fluctuations consistent with WMAP, for which at least 120 e-folds are required, arise approximately once in 10(5) trials. The emergence of robust predictions from a six-field potential with hundreds of terms invites an analytic approach to multifield inflation.
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