Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric
  Theories on Four Manifolds   We demonstrate that a supersymmetric theory twisted on a K\"ahler four
manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann
surfaces, possesses a "left-moving" conformal stress tensor on $\Sigma_1$
($\Sigma_2$) in the BRST cohomology. The central charge of the Virasoro algebra
has a purely geometric origin and is proportional to the Euler characteristic
of the $\Sigma_2$ ($\Sigma_1$) surface. This structure is shown to be invariant
under renormalization group. We also give a representation of the algebra
$W_{1+\infty}$ in terms of a free chiral supermultiplet.

13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat