Dirac-Born-Infeld and k-inflation: the CMB anisotropies from string theory

Abstract

Inflationary models within string theory exhibit unusual scalar field dynamics involving non-minimal kinetic terms and generically referred to as k-inflation. In this situation, the standard slow-roll approach used to determine the behavior of the primordial cosmological perturbations cannot longer be used. We present a generic method, based on the uniform approximation, to analytically derive the primordial power spectra of scalar and tensor perturbations. At leading order, the scalar spectral index, its running and the tensor-to-scalar ratio are modified by the new dynamics. We provide their new expression, correct previous results at next-to-leading order and clarify the definition of what is the tensor-to-scalar ratio when the sound horizon and Hubble radius are not the same. Finally, we discuss the constraints the parameters encoding the non-minimal kinetic terms have to satisfy, such as the sound speed and the energy scale of k-inflation, in view of the fifth year Wilkinson Microwave Anisotropy Probe (WMAP5) data.

4 pages, proceedings of the "Topics in Astroparticle and Undergroud Physics" conference, Roma

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• Field-theoretical formulations of MOND-like gravity
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• Natural Inflation with non minimal coupling to gravity in $R^2$ gravity under the Palatini formalism
• Embedding DBI inflation in scalar-tensor theory
• Inflationary perturbation spectrum in extended effective field theory of inflation
• Inflationary perturbation spectra at next-to-leading slow-roll order in effective field theory of inflation
• Non-trivial Extension of Starobinsky Inflation