Abstract
In this note we investigate whether the new ekpyrotic scenario can be embedded into ten-dimensional supergravity. We use that the scalar potential obtained from flux compactifications of type II supergravity with sources has a universal scaling with respect to the dilaton and the volume mode. Similar to the investigation of inflationary models, we find very strong constraints ruling out ekpyrosis from analysing the fast-roll conditions. We conclude that flux compactifications tend to provide potentials that are neither too flat and positive (inflation) nor too steep and negative (ekpyrosis).
Highlights
As two branes approach each other, the branes are rippled because of generating quantum fluctuations
In this note we investigate whether the new ekpyrotic scenario can be embedded into ten-dimensional supergravity
It is the purpose of this note to give a No-Go theorem of the ekpyrotic scenario in a ten-dimensional supergravity model which is low energy limit of a string theory
Summary
We consider compactifications of the type II theory to four-dimensional spacetime on compact manifold Y. The moduli potential arises from the compactification of the terms in ten-dimensional action (2.1) associated with the various field strengths, Dp-branes and Op-planes as well as the gravity and the dilaton. We derive the potential energy in the four-dimensional Einstein frame arising from a threeform field strength H, and a p-form field strength Fp coming from the terms in the tendimensional action (2.1) which is proportional to |H|2, |Fp|2, respectively. If four-dimensional effective action is described by Kahler moduli, complex structure moduli, and axions as well as volume moduli (breathing mode), the moduli potential will be modified. We will discuss these in the end of this section. The stabilization mechanisms of all the geometric moduli and many axions in type II string theory have been discussed in [36,37,38,39,40] (see recent analysis [41])
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