Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operator Formalism on the $Z_n$ Symmetric Algebraic Curves   In this work, the following conjectures are proven in the case of a Riemann
surface with abelian group of symmetry: a) The $b-c$ systems on a Riemann
surface $M$ are equivalent to a multivalued field theory on the complex plane
if $M$ is represented as an algebraic curve; b) the amplitudes of the $b-c$
systems on a Riemann surface $M$ with discrete group of symmetry can be derived
from the operator product expansions on the complex plane of an holonomic
quantum field theory a la Sato, Jimbo and Miwa. To this purpose, the solutions
of the Riemann-Hilbert problem on an algebraic curve with abelian monodromy
group obtained by Zamolodchikov, Knizhnik and Bershadskii-Radul are used in
order to expand the $b-c$ fields in a Fourier-like basis. The amplitudes of the
$b-c$ systems on the Riemann surface are then recovered exploiting simple
normal ordering rules on the complex plane.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg