Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Nonlinear Sigma Models and Integrability   We first review the result that the noncommutative principal chiral model has
an infinite tower of conserved currents, and discuss the special case of the
noncommutative CP^1 model in some detail. Next, we focus our attention to a
submodel of the CP^1 model in the noncommutative spacetime A_\theta(R^2+1). By
extending a generalized zero curvature representation to A_\theta(R^2+1) we
discuss its integrability and construct its infinitely many conserved currents.
Supersymmetric principal chiral model with and without the WZW term and a
supersymmetric extension of the CP^1 submodel in noncommutative spacetime (i.e
in superspaces A_\theta(R^1+1|2), A_\theta(R^2+1|2)) are also examined in
detail and their infinitely many conserved currents are given in a systematic
manner. Finally, we discuss the solutions of the aforementioned submodels with
or without supersymmetry.

33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph