Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive
  Scalar Field in Three Dimensions   We investigate the tendency in variations of the dual CFT$_2$ when a rotating
AdS$_3$ black hole changes by fluxes transferred by the scattering of a massive
scalar field according to the AdS/CFT correspondence. The conserved quantities
of the black hole are definitely constrained by the extremal condition.
Moreover, the laws of thermodynamics provide a direction for the changes in the
conserved quantities, so the black hole cannot be extremal under the
scattering. This is naturally preferred. By the relationship between the
rotating AdS$_3$ black hole and dual CFT$_2$, we find that such changes in the
black hole constrain variations in eigenstates of the dual CFT$_2$.
Furthermore, the tendency in the variations is closely related to the laws of
thermodynamics.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn