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Area of Science:

  • Cosmology
  • Theoretical Physics
  • Astrophysics

Background:

  • Cosmic Microwave Background (CMB) anisotropies and large-scale structure originate from primordial curvature perturbations.
  • Quantum fluctuations during inflation may probe the inflationary landscape potential.
  • These fluctuations can induce non-Gaussianity (NG) in primordial distributions.

Purpose of the Study:

  • To investigate how the shape of the inflationary landscape potential can be constrained by cosmological data.
  • To explore the connection between orthogonal field fluctuations and non-Gaussianity.
  • To develop a method for reconstructing the potential from observational data.

Main Methods:

  • Analyzing cosmological data, specifically CMB observations.
  • Deducing an expression for the probability distribution function of tomographic non-Gaussianity.
  • Inverting this expression to reconstruct the landscape potential.

Main Results:

  • The shape of the inflationary landscape potential influences the type of non-Gaussianity (tomographic NG).
  • Tomographic NG cannot be fully characterized by standard 3- or 4-point correlation functions.
  • A method is presented to reconstruct the potential from CMB observations.

Conclusions:

  • Current CMB observations do not yet allow for significant inference of tomographic NG.
  • Future surveys hold the potential to constrain this class of primordial signatures.
  • This research provides a novel approach to probe inflationary models.