The partition function of three-dimensional gravity in the quantum regime is dual to the Ising model when the central charge c = 1/2. Mathematically, we show that the three-dimensional gravity can be described by Schramm-Loewner evolution (SLE) with certain K. In fact, SLE depends on the parameter K, which controls the diffusion of the Brownian motion. Each value of c < 1 corresponds to two values of K, which may hint that the three-dimensional gravity has two different phases at certain central charge c. Moreover...
