Abstract
We initiate the study of multi-field inflation using holography. Bulk light scalar fields correspond to nearly marginal operators in the boundary theory and the dual quantum field theory is a deformation of a CFT by such operators. We compute the power spectra of adiabatic and entropy perturbations in a simple model and find that the adiabatic curvature perturbation is not conserved in the presence of entropy perturbations but becomes conserved when the entropy perturbations are set to zero or the model is effectively a single scalar model, in agreement with expectations from cosmological perturbation theory.
Highlights
Conventional inflation could have a dual description in terms of a strongly coupled quantum field theory (QFT) while weakly coupled QFT could describe the dynamics of a non-geometric Universe
In a class of slow roll models one can establish the same formulae without assuming the gravity approximation but by using that the partition function of the dual QFT computes the wavefunction of the bulk theory [25]
In this paper we initiated the study of multi-field inflation using holography
Summary
In this section we will use the approach developed in refs. [25, 50] and extend the results of refs. [25, 47] to the case of A scalar fields.
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