De Sitter holography and entanglement entropy

• Autores: Dong, Xi; Silverstein, Eva; Torroba, Gonzalo
• Año de publicación: 2018
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: ADS-CFT CORRESPONDENCE; BLACK HOLES; CONFORMAL FIELD THEORY; GAUGE-GRAVITY CORRESPONDENCE
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We propose a new example of entanglement knitting spacetime together, satisfying a series of checks of the corresponding von Neumann and Renyi entropies. The conjectured dual of de Sitter in d + 1 dimensions involves two coupled CFT sectors constrained by residual d-dimensional gravity. In the d = 2 case, the gravitational constraints and the CFT spectrum are relatively tractable. We identify a finite portion of each CFT Hilbert space relevant for de Sitter. Its maximum energy level coincides with the transition to the universal Cardy behavior for theories with a large central charge and a sparse light spectrum, derived by Hartman, Keller, and Stoica. Significant interactions between the two CFTs, derived previously for other reasons, suggest a maximally mixed state upon tracing out one of the two sectors; we derive this by determining the holographic Renyi entropies. The resulting entanglement entropy matches the Gibbons-Hawking formula for de Sitter entropy, including the numerical coefficient. Finally, we interpret the Gibbons-Hawking horizon entropy in terms of the Ryu-Takayanagi entropy, and explore the time evolution of the entanglement entropy.
Fil: Dong, Xi. University of California; Estados Unidos
Fil: Silverstein, Eva. University of Stanford; Estados Unidos
Fil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina