Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finiteness of conformal blocks over compact Riemann surfaces   We study conformal blocks (the space of correlation functions) over compact
Riemann surfaces associated to vertex operator algebras which are the sum of
highest weight modules for the underlying Virasoro algebra. Under the fairly
general condition, for instance, $C_2$-finiteness, we prove that conformal
blocks are of finite dimensional. This, in particular, shows the finiteness of
conformal blocks for many well-known conformal field theories including WZNW
model and the minimal model.

14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex