Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathcal{N}=2$ supersymmetric gauge theories on $S^2\times S^2$ and
  Liouville Gravity   We consider $\mathcal{N}=2$ supersymmetric gauge theories on four manifolds
admitting an isometry. Generalized Killing spinor equations are derived from
the consistency of supersymmetry algebrae and solved in the case of four
manifolds admitting a $U(1)$ isometry. This is used to explicitly compute the
supersymmetric path integral on $S^2\times S^2$ via equivariant localization.
The building blocks of the resulting partition function are shown to contain
the three point functions and the conformal blocks of Liouville Gravity.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat