Infrared Hierarchy, Thermal Brane Inflation and Superstrings as Superheavy Dark Matter

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Abstract
In theories with TeV scale quantum gravity the standard model particles live on a brane propagating in large extra dimensions. Branes may be stabilized at large (sub-millimeter) distances from each other, either due to weak Van der Waals type interactions, or due to an infrared analog of Wittens inverse hierarchy scenario. In either case, the thermal effects can drive a brief period of the late inflation, necessary to avoid the problems with high reheating temperature and the stable unwanted relics. The main reason is that the branes that repel each other at zero temperature can be temporarily glued together by the thermal effects. It is crucial that the temperature needed to stabilize branes on top of each other can be much smaller than the potential energy of the boundstate, which drives inflation. After 10-15 e-foldings boundstates cool below the critical temperature and decay ending inflation. The parallel brane worlds get separated at this stage and superstrings (of a sub-millimeter size) get stretched between them. These strings can have the right density in order to serve as a superheavy dark matter.

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