Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three Dimensional Gravity and Schramm-Loewner Evolution   The partition function of three dimensional gravity in the quantum level,
where the AdS radius $\ell$ is Planck scale, is dual to the Ising model when
the central charge $c=3\ell/2G$ is $1/2$. Mathematically, we show that the
three dimensional gravity can be described by Schramm-Loewner Evolution(SLE)
with certain $\kappa$. In fact, SLE depends on the parameter $\kappa$ which
controls the diffusion of the Brownian motion. Since every value of $c < 1$
corresponding to two values of $\kappa$, then it 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.

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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg