Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model   We discuss a two-body interaction of membrane fuzzy spheres in a pp-wave
matrix model at finite temperature by considering a fuzzy sphere rotates with a
constant radius r around the other one sitting at the origin in the SO(6)
symmetric space. This system of two fuzzy spheres is supersymmetric at zero
temperature and there is no interaction between them. Once the system is
coupled to the heat bath, supersymmetries are completely broken and non-trivial
interaction appears. We numerically show that the potential between fuzzy
spheres is attractive and so the rotating fuzzy sphere tends to fall into the
origin. The analytic formula of the free energy is also evaluated in the large
N limit. It is well approximated by a polylog-function.

17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg