Non-relativistic Matrix Inflation

We reconsider a string theoretic inflationary model, where inflation is driven by \(n\) multiple coincident \(D3\)-branes in the finite \(n\) limit. We show that the finite \(n\) action can be continued to the limit of large \(n\), where it converges to the action for a wrapped \(D5\)-brane with \(n...

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Bibliographic Details
Published in:arXiv.org 2009-08
Main Authors: Berndsen, Aaron, Lidsey, James E, Ward, John
Format: Article
Language:English
Subjects:
Branes
Flow equations
Fluxes
Parameter modification
Relativism
Relativistic effects
Relativistic theory
Online Access:Get full text
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Summary:We reconsider a string theoretic inflationary model, where inflation is driven by \(n\) multiple coincident \(D3\)-branes in the finite \(n\) limit. We show that the finite \(n\) action can be continued to the limit of large \(n\), where it converges to the action for a wrapped \(D5\)-brane with \(n\) units of U(1) flux. This provides an important consistency check of the scenario and allows for more control over certain back-reaction effects. We determine the most general form of the action for a specific sub-class of models and examine the non-relativistic limits of the theory where the branes move at speeds much less than the speed of light. The non-Abelian nature of the world-volume theory implies that the inflaton field is matrix valued and this results in modifications to the slow-roll parameters and Hubble-flow equations. A specific small field model of inflation is investigated where the branes move out of an AdS throat, and observational constraints are employed to place bounds on the background fluxes.
ISSN:2331-8422
DOI:10.48550/arxiv.0908.4252