Horizon Edge Partition Functions in Λ>0 Quantum Gravity

Area of Science:

• Theoretical physics
• Quantum gravity
• Cosmology

Background:

• Previous analyses explored one-loop thermodynamics using Lorentzian and Euclidean methods.
• Understanding horizon thermodynamics is crucial for quantum gravity.

Purpose of the Study:

• To obtain spectra of codimension-2 horizon
• edge
• degrees of freedom for gravity and higher-spin fields.
• To investigate one-loop thermodynamics in de Sitter and Nariai spacetimes.
• To reveal novel symmetry-breaking structures.

Main Methods:

• Spectral analysis of horizon degrees of freedom.
• One-loop thermodynamic calculations.
• Investigation in de Sitter and Nariai spacetime backgrounds.

Main Results:

• The edge spectra exhibit universal shift symmetries.
• A novel symmetry-breaking structure was found in one-loop partition functions with a positive cosmological constant.
• Graviton modes were geometrically interpreted as cosmic horizon fluctuations, a finding consistent in both spacetimes.

Conclusions:

• The study advances the understanding of one-loop thermodynamics in curved spacetimes.
• The identified symmetry-breaking structure offers new insights into quantum gravity effects.
• The geometric interpretation of graviton modes provides a deeper connection between gravity and horizon physics.