Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensional reduction in supersymmetric field theories   A class of quantum field theories invariant with respect to the action of an
odd vector field Q on a source supermanifold $\Sigma$ is considered. We suppose
that Q satisfies the conditions under which an integral of any Q-invariant
function over $\Sigma$ localizes to the zero locus of Q. The Q-invariant sector
of a field theory from the class above is shown then to be equivalent to the
quantum field theory defined on zero locus of the vector field Q.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess