Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cubic Dirac equation: Small initial data in
  $H^{\frac12}(\mathbb{R}^2)$   Global well-posedness and scattering for the cubic Dirac equation with small
initial data in the critical space $H^{\frac12}(\mathbb{R}^2)$ is established.
The proof is based on a sharp endpoint Strichartz estimate for the Klein-Gordon
equation in dimension $n=2$, which is captured by constructing an adapted
systems of coordinate frames.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ