Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tau Functions and Virasoro Symmetries for Drinfeld-Sokolov Hierarchies   For each Drinfeld-Sokolov integrable hierarchy associated to affine Kac-Moody
algebra, we obtain a uniform construction of tau function by using
tau-symmetric Hamiltonian densities, moreover, we represent its Virasoro
symmetries as linear/nonlinear actions on the tau function. The relations
between the tau function constructed in this paper and those defined for
particular cases of Drinfeld-Sokolov hierarchies in the literature are
clarified. We also show that, whenever the affine Kac-Moody algebra is
simply-laced or twisted, the tau functions of the Drinfeld-Sokolov hierarchy
coincide with the solutions of the corresponding Kac-Wakimoto hierarchy from
the principal vertex operator realization of the affine algebra.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th