Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic curvature of the Schwarzschild-AdS black hole and Bose
  condensation   In the AdS/CFT correspondence, a dynamical cosmological constant $\Lambda$ in
the bulk corresponds to varying the number of colors $N$ in the boundary gauge
theory with a chemical potential $\mu$ as its thermodynamic conjugate. In this
work, within the context of Schwarzschild black holes in $AdS_5 \times S^5$ and
its dual finite temperature $\mathcal{N}=4$ superconformal Yang-Mills theory at
large $N$, we investigate thermodynamic geometry through the behavior of the
Ruppeiner scalar $R$. The sign of $R$ is an empirical indicator of the nature
of microscopic interactions and is found to be negative for the large black
hole branch implying that its thermodynamic characteristics bear qualitative
similarities with that of an attraction dominated system, such as an ideal gas
of bosons. We find that as the system's fugacity approaches unity, $R$ takes
increasingly negative values signifying long range correlations and strong
quantum fluctuations signaling the onset of Bose condensation. On the other
hand, $R$ for the small black hole branch is negative at low temperatures and
positive at high temperatures with a second order critical point which roughly
separates the two regions.

28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio