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High Energy Physics - Theory

arXiv:2111.14899 (hep-th)
[Submitted on 29 Nov 2021 (v1), last revised 15 Dec 2022 (this version, v3)]

Title:Tensors and Spinors in de Sitter Space

Authors:Ben Pethybridge, Vladimir Schaub
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Abstract: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. Concise expressions for the action of isometry generators on generic bulk fields, the 2-point function of bulk spinors, and a derivation of the uplift of the spinorial covariant derivative are included.
Comments: 33 pages, 1 figure. v2 : Minor corrections and simplifications, added references. v3 : matches published version
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:2111.14899 [hep-th]
  (or arXiv:2111.14899v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.14899
Related DOI: https://doi.org/10.1007/JHEP06%282022%29123

Submission history

From: Vladimir Schaub [view email]
[v1] Mon, 29 Nov 2021 19:14:56 UTC (79 KB)
[v2] Fri, 25 Mar 2022 17:07:16 UTC (82 KB)
[v3] Thu, 15 Dec 2022 15:17:58 UTC (78 KB)
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