Lowering the string scale in the TeV region provides a theoretical framework
for solving the mass hierarchy problem and unifying all interactions. The
apparent weakness of gravity can then be accounted by the existence of large
internal dimensions, in the submillimeter region, and transverse to a
braneworld where our universe must be confined. I review the main properties of
this scenario and its implications for observations at both particle colliders,
and in non-accelerator gravity experiments. Such effects are for instance the
production of Kaluza-Klein resonances, graviton emission in the bulk of extra
dimensions, and a radical change of gravitational forces in the submillimeter
range. I also discuss the warped case and localization of gravity in the
presence of infinite size extra dimensions.Comment: 29 pages, 11 figures. Lectures to appear in the proceedings of the
Third Aegean Summer School, Karfas, Chios, Greece, 26 September-1 October
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