Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The non-perturbative phase diagram of the BMN matrix model   We study the maximally supersymmetric plane wave matrix model (the BMN model)
at finite temperature, $T$, and locate the high temperature phase boundary in
the $(\mu,T)$ plane, where $\mu$ is the mass parameter. We find the first
transition, as the system is cooled from high temperatures, is from an
approximately $SO(9)$ symmetric phase to one where three matrices expand to
form fuzzy spheres. For $\mu > 3.0$ there is a second distinct transition at a
lower temperature. The two transitions approach one another at smaller $\mu$
and merge in the vicinity of $\mu=3.0$. The resulting single transition curve
then approaches the gauge/gravity prediction as $\mu$ is further decreased. We
find a rough estimate of the transition, for all $\mu$, is given by a Pad\'e
resummation of the large-$\mu$, 3-loop perturbative, predictions. We find
evidence that the transition at small $\mu$ is to an M5-brane phase of the
theory.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom