A scaling invariance of k-inflation background equations allows parameter redefinitions that normalize the curvature perturbation spectrum at the CMB pivot scale without altering its shape.
Observing Brane Inflation
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abstract
Linking the slow-roll scenario and the Dirac-Born-Infeld scenario of ultra-relativistic roll (where, thanks to the warp factor, the inflaton moves slowly even with an ultra-relativistic Lorentz factor), we find that the KKLMMT D3/anti-D3 brane inflation is robust, that is, enough e-folds of inflation is quite generic in the parameter space of the model. We show that the intermediate regime of relativistic roll can be quite interesting observationally. Introducing appropriate inflationary parameters, we explore the parameter space and give the constraints and predictions for the cosmological observables in this scenario. Among other properties, this scenario allows the saturation of the present observational bound of either the tensor/scalar ratio r (in the intermediate regime) or the non-Gaussianity f_NL (in the ultra-relativistic regime), but not both.
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A scaling invariance of the perturbations in $k$-inflation models
A scaling invariance of k-inflation background equations allows parameter redefinitions that normalize the curvature perturbation spectrum at the CMB pivot scale without altering its shape.