Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions

Understand

We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius $l$ is of the order of the Planck scale.

• Specifically, when the Brown-Henneaux central charge $c=3l/2G_N$ ($G_N$ is the 3D Newton constant) equals $c=1/2$, we establish duality between 3D gravity and 2D Ising conformal field theory by matching gravity and conformal field theory partition functions for AdS spacetimes with general asymptotic boundaries.
• This duality was suggested by a genus-one calculation of Castro et al.
• [Phys.