Primordial perturbation spectra in a holographic phase of the Universe

In this paper, I suppose that the Universe begins in a holographic thermal equilibrium phase with the diverged correlation length, and the phase transition to the radiation phase of standard cosmology goes with the abrupt reduction of correlation length. In this case, the primordial perturbations may be induced by thermal fluctuations in this holographic phase. I calculate the spectra of these holographic primordial perturbations and find that the scalar spectrum has a slightly red tilt and the tensor perturbation amplitude has a moderate ratio, which may be tested in coming observations. The results plotted in the r-ns plane are similar to that of large field inflation models. However, for fixed efolding number, they are generally in different positions