Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hairy Black Holes in AdS$_5\times S^5$   We use numerical methods to exhaustively study a novel family of hairy black
hole solutions in AdS$_5$. These solutions can be uplifted to solutions of type
IIB supergravity with AdS$_5\times S^5$ asymptotics and are thus expected to
play an important role in our understanding of AdS/CFT. We find an intricate
phase diagram, with the aforementioned family of hairy black hole solutions
branching from the Reissner-Nordstr\"om black hole at the onset of the
superradiance instability. We analyse black holes with spherical and planar
horizon topology and explain how they connect in the phase diagram. Finally, we
detail their global and local thermodynamic stability across several ensembles.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th