Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular Vertices in the Strong Coupling Phase of Four--Dimensional
  Simplicial Gravity   We study four--dimensional simplicial gravity through numerical simulation
with special attention to the existence of singular vertices, in the strong
coupling phase, that are shared by abnormally large numbers of four--simplices.
The second order phase transition from the strong coupling phase into the weak
coupling phase could be understood as the disappearance of the singular
vertices. We also change the topology of the universe from the sphere to the
torus.

1
The categories of this paper are: cs
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph