Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1912.02694 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- 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 $κ$. In fact, SLE depends on the parameter $κ$ which controls the diffusion of the Brownian motion. Each value of $c < 1$ corresponds to two values of $κ$, which may hint that the three dimensional gravity has two different phases at certain central charge c. Moreover, phase transition is also discussed in AdS and Ising model.