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Imprints of Spinning Particles on Primordial Cosmological Perturbations

Gabriele Franciolini, Alex Kehagias, Antonio Riotto

TL;DR

The paper investigates how light spinning particles during inflation imprint statistical anisotropies in primordial cosmological perturbations. Using the dS/CFT3 framework and operator product expansion, it provides explicit forms for anisotropic corrections to two-, three-, and four-point correlators for scalar fluctuations, covering both full higher-spin and partially massless cases. Key contributions include general spin-s anisotropic structures for power spectra and non-Gaussian correlators, closed-form results for spin-1 and higher-spin interactions, and the Delta=0 signatures of partially massless fields. These results offer a holographic route to constrain high-energy particle content during inflation and identify distinctive angular signatures that could be sought in cosmological data.

Abstract

If there exist higher-spin particles during inflation which are light compared to the Hubble rate, they may leave distinct statistical anisotropic imprints on the correlators involving scalar and graviton fluctuations. We characterise such signatures using the dS/CFT$_3$ correspondence and the operator product expansion techniques. In particular, we obtain generic results for the case of partially massless higher-spin states.

Imprints of Spinning Particles on Primordial Cosmological Perturbations

TL;DR

The paper investigates how light spinning particles during inflation imprint statistical anisotropies in primordial cosmological perturbations. Using the dS/CFT3 framework and operator product expansion, it provides explicit forms for anisotropic corrections to two-, three-, and four-point correlators for scalar fluctuations, covering both full higher-spin and partially massless cases. Key contributions include general spin-s anisotropic structures for power spectra and non-Gaussian correlators, closed-form results for spin-1 and higher-spin interactions, and the Delta=0 signatures of partially massless fields. These results offer a holographic route to constrain high-energy particle content during inflation and identify distinctive angular signatures that could be sought in cosmological data.

Abstract

If there exist higher-spin particles during inflation which are light compared to the Hubble rate, they may leave distinct statistical anisotropic imprints on the correlators involving scalar and graviton fluctuations. We characterise such signatures using the dS/CFT correspondence and the operator product expansion techniques. In particular, we obtain generic results for the case of partially massless higher-spin states.

Paper Structure

This paper contains 13 sections, 95 equations, 2 figures.

Table of Contents

  1. Introduction
  2. The statistically anisotropic two-point correlator from spinning particles
  3. The spin-1 case
  4. The higher-spin case
  5. The statistically anisotropic three- and four-point correlator from spinning particles
  6. The spin-1 case
  7. The higher-spin case
  8. The three-point correlator involving higher-spin fields
  9. The statistically anisotropic three-point correlator tensor-scalar-scalar from spinning particles
  10. The statistically anisotropic four-point correlator from spinning particles in the collapsed limit
  11. The statistically anisotropic correlators from partial higher-spin massless states
  12. The two-, three- and four-point correlators from partial massless particles
  13. Conclusions

Figures (2)

  • Figure 1: Scalar perturbations on cosmologically relevant scales leave the Hubble radius in the presence of a nonvanishing higher-spin infrared background.
  • Figure 2: The inversion operation around a point $z$ close to $\vec{ x}_3$.