Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity

Journal Article · Mon Sep 14 00:00:00 EDT 2020 · SciPost Physics

DOI:https://doi.org/10.21468/SciPostPhys.9.3.039· OSTI ID:1660308

Martin, Victoria ^[1]; Svesko, Andrew ^[1]

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1. Arizona State University

In this note we compute the 1-loop partition function of spin- s $s$ fields on Euclidean de Sitter space S^{2n+1} $S^{2n+1}$ using the quasinormal mode method. Instead of computing the quasinormal mode frequencies from scratch, we use the analytic continuation prescription L_{\text{AdS}}\to iL_{\text{dS}} $L_{\text{AdS}}\to i{L}_{\text{dS}}$ , appearing in the dS/CFT correspondence, and Wick rotate the normal mode frequencies of fields on thermal \text{AdS}_{2n+1} ${\text{AdS}}_{2n+1}$ into the quasinormal mode frequencies of fields on de Sitter space. We compare the quasinormal mode and heat kernel methods of calculating 1-loop determinants, finding exact agreement, and furthermore explicitly relate these methods via a sum over the conformal dimension. We discuss how the Wick rotation of normal modes on thermal \text{AdS}_{2n+1} ${\text{AdS}}_{2n+1}$ can be generalized to calculating 1-loop partition functions on the thermal spherical quotients S^{2n+1}/\mathbb{Z}_{p} $S^{2n+1}/{\mathbb{Z}}_p$ . We further show that the quasinormal mode frequencies encode the group theoretic structure of the spherical spacetimes in question, analogous to the analysis made for thermal AdS in [1-3] .

• Research Organization: Arizona State Univ., Tempe, AZ (United States)
• Sponsoring Organization: USDOE; USDOE Office of Science (SC)
• Grant/Contract Number: SC0018330
• OSTI ID: 1660308
• Alternate ID(s): OSTI ID: 1803366
• Journal Information: SciPost Physics, Journal Name: SciPost Physics Journal Issue: 3 Vol. 9; ISSN 2542-4653
• Publisher: Stichting SciPost
• Country of Publication: Netherlands
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Physics