Gravitons on Nariai Edges

2025/06/02 by Law, Y. T. Albert, Lochab, Varun · 4 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2506.02142

Abstract

We show that, for any d≥ 3, the one-loop graviton path integral on S²× S^d-1 factorizes into bulk and edge parts. The bulk equals the thermal partition function of an ideal graviton gas in the Lorentzian Nariai geometry. The edge factor is the inverse of the path integral over two identical copies, each containing one shift-symmetric vector and three shift-symmetric scalars on S^d-1. Unlike the round S^d+1 case, all scalars are massless, indicating that graviton edge partition functions probe beyond the horizon's intrinsic geometry - in contrast to p-form gauge theories. In the course of this work, we obtain a compact formula for the one-loop Euclidean graviton path integral on any Λ>0 Einstein manifold.

Citations

• Features of the Partition Function of a Λ>0 Universe
• Physical instabilities and the phase of the Euclidean path integral
• The phase of the gravitational path integral
• De Sitter Horizon Edge Partition Functions
• Soft edges: the many links between soft and edge modes
• Real observers solving imaginary problems
• Dynamical Edge Modes in Yang-Mills Theory
• Dynamical Edge Modes in p-form Gauge Theories
• Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics
• Minimal Areas from Entangled Matrices
• Note on entanglement and edge modes
• Gravitons on the edge
• Real-time observables in de Sitter thermodynamics
• Entanglement entropy and the boundary action of edge modes
• Gravitational Observatories
• Characters, Quasinormal Modes, and Quantum de Sitter Thermodynamics
• A note on the representations of SO(1,d + 1)
• Renyi entropy and C_T for p-forms on even spheres
• A note on electromagnetic edge modes
• On the definition of entanglement entropy in lattice gauge theories
• Notes on Entanglement in Abelian Gauge Theories
• On Some Static Solutions of Einstein's Gravitational Field Equations in a Spherically Symmetric Case

Cited by

• On the phase of the de Sitter density of states
• Entanglement Entropy of Quantum Corners
• One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation
• Quasinormal bulk-edge characters of gravitons in Nariai geometry
• Features of the Partition Function of a Λ>0 Universe

Related

• Quasinormal bulk-edge characters of gravitons in Nariai geometry
• De Sitter Horizon Edge Partition Functions
• Worldline path integrals for the graviton
• Worldline path integral for the massive graviton
• Features of the Partition Function of a Λ>0 Universe