Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partition functions of Supersymmetric Gauge Theories in Noncommutative
  R^{2D} and their Unified Perspective   We investigate cohomological gauge theories in noncommutative R^{2D}. We show
that vacuum expectation values of the theories do not depend on noncommutative
parameters, and the large noncommutative parameter limit is equivalent to the
dimensional reduction. As a result of these facts, we show that a partition
function of a cohomological theory defined in noncommutative R^{2D} and a
partition function of a cohomological field theory in R^{2D+2} are equivalent
if they are connected through dimensional reduction. Therefore, we find several
partition functions of supersymmetric gauge theories in various dimensions are
equivalent. Using this technique, we determine the partition function of the
N=4 U(1) gauge theory in noncommutative R^4, where its action does not include
a topological term. The result is common among (8-dim, N=2), (6-dim, N=2),
(2-dim, N=8) and the IKKT matrix model given by their dimensional reduction to
0-dim.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol