Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equivalence theorem for integrable systems   We investigate the equivalence theorem for integrable systems using two
formulations of the Alday-Arutyunov-Frolov model. We show that the S-matrix is
invariant under the field transformation which reduces the non-linear Dirac
brackets of one formulation into the standard commutation relations in the
second formulation. We also explain how to perform the direct diagonalization
of the transformed Hamiltonian by constructing the states corresponding to
self-adjoint extensions.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an