Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex algebroids and Conformal vertex algebras associated with simple
  Leibniz algebras   We first investigate the algebraic structure of vertex algebroids $B$ when
$B$ are simple Leibniz algebras. Next, we use these vertex algebroids $B$ to
construct indecomposable non-simple $C_2$-cofinite $\mathbb{N}$-graded vertex
algebras $\overline{V_B}$. In addition, we classify $\mathbb{N}$-graded
irreducible $\overline{V_B}$-modules and examine conformal vectors of these
$\mathbb{N}$-graded vertex algebras $\overline{V_B}$.

28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas