Journal of High Energy Physics

, 2019:156 | Cite as

Higher spin supersymmetry at the cosmological collider: sculpting SUSY rilles in the CMB

  • Stephon Alexander
  • S. James GatesJr
  • Leah Jenks
  • K. Koutrolikos
  • Evan McDonoughEmail author
Open Access
Regular Article - Theoretical Physics


We study the imprint of higher spin supermultiplets on cosmological correlators, namely the non-Gaussianity of the cosmic microwave background. Supersymmetry is used as a guide to introduce the contribution of fermionic higher spin particles, which have been neglected thus far in the literature. This necessarily introduces more than just a single additional fermionic superpartner, since the spectrum of massive, higher spin super- multiplets includes two propagating higher spin bosons and two propagating higher spin fermions, which all contribute to the three point function. As an example we consider the half-integer superspin Y = s + 1/2 supermultiplet, which includes particles of spin values j = s + 1, j = s + 1/2, j = s + 1/2 and j = s. We compute the curvature perturbation 3-point function for higher spin particle exchange and find that the known Ps(cos θ) angu- lar dependence is accompanied by superpartner contributions that scale as Ps+1(cos θ) and \( {\sum}_m{P}_s^m\left(\cos \theta \right) \), with Ps and \( {P}_s^m \) defined as the Legendre and Associated Legendre polynomials respectively. We also compute the tensor-scalar-scalar 3-point function, and find a complicated angular dependence as an integral over products of Legendre and associated Legendre polynomials.


Cosmology of Theories beyond the SM Higher Spin Symmetry Supersym- metric Effective Theories 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited


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© The Author(s) 2019

Authors and Affiliations

  • Stephon Alexander
    • 1
    • 2
  • S. James GatesJr
    • 1
    • 2
  • Leah Jenks
    • 1
  • K. Koutrolikos
    • 1
  • Evan McDonough
    • 1
    Email author
  1. 1.Department of PhysicsBrown UniversityProvidenceU.S.A.
  2. 2.Brown Theoretical Physics CenterProvidenceU.S.A.

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