Slow Roll in Brane Inflation

Abstract

We address the issue of slow-roll in string theory models of inflation. Using a Kähler transformation and results from the D3-D7 model, we show why we expect flat directions to be present and slow-roll to be possible in general. We connect with earlier discussions of shift symmetry for $T^6/Z_2$ and $K3\times T^2/Z_2$ compactifications. We also collect various contributions to the inflationary potential and discuss their importance for slow-roll. We include a few simple checks of the form of the Kahler potential on $T^6/Z_2$ using T-duality.

20 pages, 1 figure references added

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• Inflation from Warped Space
• Random Matrices and the Spectrum of N-flation
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• Non-relativistic Matrix Inflation