Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hirota Quadratic Equations for the Gromov--Witten Invariants of
  $\mathbb{P}_{n-2,2,2}^1$   Fano orbifold lines are classified by the Dynkin diagrams of type $A,D,$ and
$E$. It is known that the corresponding total descendant potential is a
tau-function of an appropriate Kac--Wakimoto hierarchy. It is also known that
in the A-case the Kac--Wakimoto hierarchies admit an extension and that the
total descendant potential is a tau-function of an extended Kac--Wakimoto
hierarchy. The goal of this paper is to prove that in the D-case the total
descendent potential is also a tau-function of an extended Kac--Wakimoto
hierarchy.

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The categories of this paper are: cs
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: physics
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat