• Corpus ID: 244729890

Tensors and Spinors in de Sitter Space

  title={Tensors and Spinors in de Sitter Space},
  author={Ben Pethybridge and Vladimir Schaub},
: We construct the Wightman function for symmetric traceless tensors and Dirac fermions in dS d +1 in a coordinate and index free formalism using a d + 2 dimensional ambient space. We expand the embedding space formalism to cover spinor and tensor fields in any even or odd dimension. Our goal is to furnish a self-contained toolkit for the study of fields of arbitrary spin in de Sitter, with applications to cosmological perturbation theory. The construction for spinors is shown in extensive detail… 

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X iv :2 20 1. 03 25 3v 1 [ m at hph ] 1 0 Ja n 20 22 Restriction of Laplace-de Rham operator on one-forms: from R and R ambient spaces to embedded (A)dSn submanifolds E. Huguet, J. Queva, and J.
Spinors and conformal correlators
  • M. Gillioz
  • Physics
    Journal of High Energy Physics
  • 2022
Abstract In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-known fact


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