Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: U(1) gauge invariant noncommutative Schr\"odinger theory and gravity   We consider the complex, massive Klein-Gordon field living in the
noncommutative space, and coupled to noncommutative electromagnetic fields.
After employing the Seiberg-Witten map to first order, we analyze the
noncommutative Klein-Gordon theory as $ c $, the velocity of light, goes to
infinity. We show that the theory exhibits a regular "magnetic" limit only for
certain forms of magnetic fields. The resulting theory is nothing but the
Schr\"odinger theory in a gravitational background generated by the gauge
fields.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio