TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.9.3.039
TI  - Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity
PY  - 2020/09/14
UR  - https://scipost.org/SciPostPhys.9.3.039
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 9
IS  - 3
SP  - 039
A1  - Martin, Victoria
AU  - Svesko, Andrew
AB  - In this note we compute the 1-loop partition function of spin-$s$ fields on Euclidean de Sitter space $S^{2n+1}$ using the quasinormal mode method. Instead of computing the quasinormal mode frequencies from scratch, we use the analytic continuation prescription $L_{\text{AdS}}\to iL_{\text{dS}}$, appearing in the dS/CFT correspondence, and Wick rotate the normal mode frequencies of fields on thermal $\text{AdS}_{2n+1}$ 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 $\text{AdS}_{2n+1}$ can be generalized to calculating 1-loop partition functions on the thermal spherical quotients $S^{2n+1}/\mathbb{Z}_{p}$. We further show that the quasinormal mode frequencies encode the group theoretic structure of the spherical spacetimes in question, analogous to the recent analysis made for thermal AdS in (1910.07607) and (1910.11913).
ER  -

@Article{10.21468/SciPostPhys.9.3.039,
	title={{Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity}},
	author={Victoria L. Martin and Andrew Svesko},
	journal={SciPost Phys.},
	volume={9},
	pages={039},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.9.3.039},
	url={https://scipost.org/10.21468/SciPostPhys.9.3.039},
}