Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable Systems and Poisson-Lie T-duality: a finite dimensional
  example   We study the deep connection between integrable models and Poisson-Lie
T-duality working on a finite dimensional example constructed on SL(2,C) and
its Iwasawa factors SU(2) and B. We shown the way in which Adler-Kostant-Symes
theory and collective dynamics combine to solve the equivalent systems from
solving the factorization problem of an exponential curve in SL(2,C). It is
shown that the Toda system embraces the dynamics of the systems on SU(2) and B.

3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex