Observational consequences of inflationary cosmology in the holographic dual of the Randall-Sundrum type II braneworld scenario , as motivated by the AdS/CFT correspondence , are investigated .
High energy corrections to the standard four-dimensional Friedmann equation induce a corresponding modification to the form of the single-field inflationary consistency equation based on Einstein gravity .
The degree of departure from the standard expression is determined by the ratio , r , of the primordial tensor and scalar perturbation amplitudes and the coefficient , c , of the conformal anomaly in the dual gauge theory .
It is found that a necessary condition for detecting such a correction with the next generation of cosmic microwave background ( CMB ) polarization experiments is that r \geq 0.06 .
The bound is tightened to r > 0.3 for values of the central charge that are compatible with known compactifications of type IIB string theory as parametrized in terms of F-theory compactification on Calabi-Yau four-folds .
This is close to the present upper bounds inferred from combined observations of the CMB anisotropy power spectrum and high redshift surveys .
We conclude that if such modifications to the inflationary consistency equation are to be observable , the gravitational wave background should be detected in the near future .
A further consequence of the non-standard dynamics at high energies is that the initial state of the universe is a quiescent singularity with a finite density and pressure .