Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative solitons and strong-weak duality   Some properties of the non-commutative versions of the sine-Gordon model
(NCSG) and the corresponding massive Thirring theories (NCMT) are studied. Our
method relies on the NC extension of integrable models and the master
Lagrangian approach to deal with dual theories. The master Lagrangians turn out
to be the NC versions of the so-called affine Toda model coupled to matter
fields (NCATM) associated to the group GL(2), in which the Toda field belongs
to certain representations of either $U(1){x} U(1)$ or $U(1)_{C}$ corresponding
to the Lechtenfeld et al. (NCSG$_{1}$) or Grisaru-Penati (NCSG$_{2}$) proposals
for the NC versions of the sine-Gordon model, respectively. Besides, the
relevant NCMT$_{1, 2}$ models are written for two (four) types of Dirac fields
corresponding to the Moyal product extension of one (two) copy(ies) of the
ordinary massive Thirring model. The NCATM$_{1,2}$ models share the same
one-soliton (real Toda field sector of model 2) exact solutions, which are
found without expansion in the NC parameter $\theta$ for the corresponding Toda
and matter fields describing the strong-weak phases, respectively. The
correspondence NCSG$_{1}$ $\leftrightarrow$ NCMT$_{1}$ is promising since it is
expected to hold on the quantum level.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an