Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge Backgrounds from Commutators and the Role of Noncommutative Space   The gauge connections corresponding to electromagnetism, Yang-Mills theory
and Einstein gravity can be derived by assuming specific commutation relations
between the phase-space variables of a first quantized theory. Extending the
procedure to noncommuting coordinates leads to new types of dynamics, which are
explored. In particular, the conditions for the coexistence of an
electromagnetic background and a noncommutative two-from are found, as well as
a generalized mechanism of dimensional reduction. The noncommutative
deformation of a gravitational background is also constructed. The present
formulation suggests some simple experimental tests of noncommutativity.

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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
19
The categories of this paper are: eess
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph