Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Are Near $AdS_2$ Spacetimes Dual to $AdS_2$ Black Holes?   We claim that there is a one to one correspondence between $NAdS_2$
spacetimes and dilatonic $AdS_2$ black holes. We show that these have the same
thermodynamics and can be described by the same states of 1D CFTs with the same
central charge. In addition, we show that these are actually the same set of
solutions since a field redefinition in the Schwarzian theory transforms its
equation of motion into the time independent part of the bulk Einstein
equation. The deformations of the $AdS_2$ boundary as a function of the
boundary time are exactly the conformal factor of the $AdS_2$ black hole metric
as a function of the radial bulk coordinate.

27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph