Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tree Algebras: An algebraic axiomatization of intertwining vertex
  operators   We describe a completely algebraic axiom system for intertwining operators of
vertex algebra modules, using algebraic flat connections, thus formulating the
concept of a {\em tree algebra}. Using the Riemann-Hilbert correspondence, we
further prove that a vertex tensor category in the sense of Huang and Lepowsky
gives rise to a tree algebra over $\C$. We also show that the chiral WZW model
of a simply connected simple compact Lie group gives rise to a tree algebra
over $\Q$.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc