Slow Roll in Brane Inflation

We address the issue of slow-roll in string theory models of inflation. Using a K"{a}hler 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 $T^6\mathrm{/}{Z}_2$ and $K3\times T^2\mathrm{/}{Z}_2$ 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 $T^6\mathrm{/}{Z}_2$ using T-duality.