Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 3D and 4D noncommutative electromagnetic duality and the role of the
  slowly varying fields limit   We study classical noncommutative (NC) electromagnetic duality in both 3D and
4D space-times through the Seiberg-Witten (SW) map to all orders in theta. We
evaluate the role of space-time dimensions, of the gauge coupling constant g^2
inversion, of the slowly varying fields (SVF) limit and of the rule theta -->
g^2 *theta (where * is the Hodge duality operator), which was originally found
in the 4D space-time. Among our results, a new scalar picture for NC
electromagnetism to second order in theta is established, a formula which
simplifies considerably the application of the SW map in 3D is presented and we
show that the SVF limit has a crucial role in this duality starting from the
third order in theta for any dimension: outside this limit the symmetry between
theta and g^2 *theta is lost.

0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph