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In the same sense that AdS_5 warped geometries arise naturally from Type IIBstring theory with stacks of D3 branes, AdS_7 warped geometries arise naturallyfrom M theory with stacks of M5 branes. We compactify two spatial dimensions ofAdS_7 to get AdS_5 X Sigma^2, where the metric for Sigma^2 inherits the samewarp factor as appears in the AdS_5. We analyze the 5d spectrum in detail forthe case of a bulk scalar or a graviton in AdS_5 X T^2, in a setup which mimicsthe first Randall-Sundrum model. The results display novel features which mightbe observed in experiments at the CERN Large Hadron Collider. For example, weobtain TeV scale string winding states without lowering the string scale. Thisis due to the double warping which is a generic feature of winding states alongcompactified AdS directions. Experimental verification of these signatures ofAdS_7 could be interpreted as direct evidence for M theory.Comment: 18 pages, 1 figure, version published in PRL (title changed in  journal

Randall-Sundrum Brane Model with 7D Anti–de Sitter Space