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de Sitter horizon edge partition functions

Y. T. Albert Law*

  • *Contact author: ytalaw@stanford.edu
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Phys. Rev. D 113, 086005 – Published 13 April, 2026

DOI: https://doi.org/10.1103/cm6p-9r4n

Abstract

One-loop Sd+1 path integrals were shown to factorize into two parts: a bulk thermal ideal gas partition function in a dSd+1 static patch and an edge partition function associated with degrees of freedom living on Sd−1. Here, we analyze the so(d) structure of the edge partition functions for massive and massless totally symmetric tensors of arbitrary rank in any d≥3. For linearized Einstein gravity on Sd+1, we find that the edge partition function receives contributions from shift-symmetric vector and scalar fields on Sd−1, suggesting a possible interpretation in terms of an embedded Sd−1 brane.

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See Also

Gravitons on Nariai edges

Y. T. Albert Law and Varun Lochab
Phys. Rev. D 113, 086006 (2026)

Horizon Edge Partition Functions in Λ>0 Quantum Gravity

Y. T. Albert Law and Varun Lochab
Phys. Rev. Lett. 136, 151601 (2026)

Article Text

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Phys. Rev. D 113, 086005– Published 13 April, 2026
  • Received 5 October 2025
  • Accepted 30 January 2026
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