Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on ${\cal N}\ge 6$ Superconformal Quantum Field Theories in three
  dimensions   Based on the structure of the three-dimensional superconformal algebra we
show that every irreducible ${\mathcal N}=6$ three-dimensional superconformal
theory containes exactly one conserved U(1)-symmetry current in the stress
tensor supermultiplet and that superconformal symmetry of every ${\mathcal
N}=7$ superconformal theory is in fact enhanced to ${\mathcal N}=8$. Moreover,
an irreducible ${\cal N}=8$ superconformal theory does not have any global
symmetries. The first observation explains why all known examples of ${\mathcal
N}=6$ superconformal theories have a global abelian symmetry.

30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn