Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermions and noncommutative theories   By using a framework where the object of noncommutativity $\theta^{\mu\nu}$
represents independent degrees of freedom, we study the symmetry properties of
an extended $x+\theta$ space-time, given by the group $P$', which has the
Poincar\'{e} group $P$ as a subgroup. In this process we use the minimal
canonical extension of the Doplicher, Fredenhagen and Roberts algebra. It is
also proposed a generalized Dirac equation, where the fermionic field depends
not only on the ordinary coordinates but on $\theta^{\mu\nu}$ as well. The
dynamical symmetry content of such fermionic theory is discussed, and we show
that its action is invariant under $\cal P$'.

24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con