Cosmological perturbation spectra from SL(4,R)-invariant effective actions

Details Cosmological perturbation spectra from SL(4,R)-invariant effective actions Cosmological perturbation spectra from SL(4,R)-invariant effective actions

2000-02-25

arxiv.org/abs/hep-th/0002215v2

Phys.Rev. D61 (2000) 123514

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 3 figures, revtex plus epsf, minor typos corrected, version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.61.123514

We investigate four-dimensional cosmological vacuum solutions derived from an effective action invariant under global SL(n,R) transformations. We find the general solutions for linear axion field perturbations about homogeneous dilaton-moduli-vacuum solutions for an SL(4,R)-invariant action and find the spectrum of super-horizon perturbations resulting from vacuum fluctuations in a pre big bang scenario. We show that for SL(n,R)-invariant actions with n>3 there exists a regime of parameter space of non-zero measure where all the axion field spectra have positive spectral tilt, as required if light axion fields are to provide a seed for anisotropies in the microwave background and large-scale structure in the universe.

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