CFT duals of three-dimensional de Sitter gravity

Understand

We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces.

• We argue that such a CFT includes an SU$(2)$ WZW model in the critical level limit $k\to -2$, which corresponds to the classical gravity limit.
• We can generalize this dS/CFT by considering the SU$(N)$ WZW model in the critical level limit $k\to -N$, dual to the higher-spin gravity on a three-dimensional de Sitter space.
• We confirm that under this proposed duality the classical partition function in the gravity side can be reproduced from CFT calculations.