Non-relativistic Matrix Inflation
arXiv:0908.4252 · doi:10.1007/JHEP01(2010)025
Abstract
We reconsider a string theoretic inflationary model, where inflation is driven by multiple coincident -branes in the finite limit. We show that the finite action can be continued to the limit of large , where it converges to the action for a wrapped -brane with 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.
25 pages
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