Higher Spin Cosmology

TL;DR

This paper constructs and analyzes higher spin gravity solutions in 2+1 dimensional de Sitter space, establishing their thermodynamics and relating them to higher spin black holes in AdS_3, thus extending holographic thermodynamics.

Contribution

It introduces cosmological solutions in higher spin gravity with consistent thermodynamics and connects their properties to higher spin black holes via holographic principles.

Findings

Thermodynamics of higher spin de Sitter solutions is consistent with holonomy conditions.

The thermodynamics reduces to Gibbons-Hawking in the spin-2 limit.

A holographic relation between de Sitter and AdS_3 higher spin solutions is established.

Abstract

We construct cosmological solutions of higher spin gravity in 2+1 dimensional de Sitter space. We show that a consistent thermodynamics can be obtained for their horizons by demanding appropriate holonomy conditions. This is equivalent to demanding the integrability of the Euclidean boundary CFT partition function, and reduces to Gibbons-Hawking thermodynamics in the spin-2 case. By using a prescription of Maldacena, we relate the thermodynamics of these solutions to those of higher spin black holes in AdS_3.