• Corpus ID: 244729890

Tensors and Spinors in de Sitter Space

@inproceedings{Pethybridge2021TensorsAS,
  title={Tensors and Spinors in de Sitter Space},
  author={Ben Pethybridge and Vladimir Schaub},
  year={2021}
}
: 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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Restriction of Laplace-de Rham operator on one-forms: from $R^{n+2}$ and $R^{n+1}$ ambient spaces to embedded (A)dS$_n$ submanifolds
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…

References

SHOWING 1-10 OF 122 REFERENCES
V.
  • Beiträge zur Statistik der Brodpreise im Deutschen Reich
  • 1893
AdS weight shifting operators
A bstractWe construct a new class of differential operators that naturally act on AdS harmonic functions. These are weight shifting operators that change the spin and dimension of AdS…
Weight shifting operators and conformal blocks
A bstractWe introduce a large class of conformally-covariant differential operators and a crossing equation that they obey. Together, these tools dramatically simplify calculations involving…
Bootstrapping 3D fermions
A bstractWe study the conformal bootstrap for a 4-point function of fermions 〈ψψψψ〉 in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in…
Spinning conformal correlators
A bstractWe develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an indexfree notation where tensors…
Quantum Theory of Fields
To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject. But it is a very good and most useful book. The original was…
Unitarity at the late time boundary of de Sitter
The symmetry group of the de Sitter spacetime, accommodates fields of various masses and spin among its unitary irreducible representations. These unitary representations are labeled by the spin and…
Fermions in geodesic Witten diagrams
A bstractWe develop the embedding formalism for odd dimensional Dirac spinors in AdS and apply it to the (geodesic) Witten diagrams including fermionic degrees of freedom. We first show that the…
Conformal correlators and blocks with spinors in general dimensions
We compute conformal correlation functions with spinor, tensor, and spinor-tensor primary fields in general dimensions with Euclidean and Lorentzian metrics. The spinors are taken to be Dirac…
A sum rule for boundary contributions to the trace anomaly
In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a…
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