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P H Y S I C A L R E V I E W L E T T E R S week ending
PRL 98, 051301 (2007) 2 FEBRUARY 2007
Observing the Geometry of Warped Compactification via Cosmic Inflation
Gary Shiu and Bret Underwood
Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA
(Received 20 October 2006; published 2 February 2007)
Using Dirac-Born-Infeld inflation as an example, we demonstrate that the detailed geometry of warped
compactification can leave an imprint on the cosmic microwave background. We compute cosmic
microwave background observables for Dirac-Born-Infeld inflation in a generic class of warped throats
and find that the results (such as the sign of the tilt of the scalar perturbations and its running) depend
sensitively on the precise shape of the warp factor. In particular, we analyze the warped deformed conifold
and find that the results can differ from those of other warped geometries, even when these geometries
approximate well the exact metric of the warped deformed conifold.
DOI: 10.1103/PhysRevLett.98.051301 PACS numbers: 98.80.Cq, 11.25.Wx
It has long been recognized that observational cosmol- taining inflation by flattening the inflaton potential [6] or
ogy provides a powerful window for testing fundamental limiting the speed of the branes [7], significant warping
physics, especially theories whose energy scales are far is essential in reheating the Universe [ 14]. Far from the tip
from what current accelerator e
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