Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization on Three-Manifolds   We consider supersymmetric gauge theories on Riemannian three-manifolds with
the topology of a three-sphere. The three-manifold is always equipped with an
almost contact structure and an associated Reeb vector field. We show that the
partition function depends only on this vector field, giving an explicit
expression in terms of the double sine function. In the large N limit our
formula agrees with a recently discovered two-parameter family of dual
supergravity solutions. We also explain how our results may be applied to prove
vortex-antivortex factorization. Finally, we comment on the extension of our
results to three-manifolds with non-trivial fundamental group.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat