Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries of a mean-field spin model   Thermodynamic limit evolution of a closed quantum Heisenberg-type spin model
with mean-field interactions is characterized by classifying all the symmetries
of the equations of motion. It is shown that parameters of the model induce a
structure in the Hilbert space by partitioning it into invariant subspaces,
decoupled by the underlying Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY)
hierarchy. All possible partitions are classified in terms of a $3\times3$
matrix of effective, thermodynamic limit coupling constants. It is found that
there are either 1, 2, 4, or O(N) invariant subspaces. The BBGKY hierarchy
decouples into the corresponding number of anti-Hermitian operators on each
subspace. These findings imply that equilibration and the equilibrium in this
model depend on the initial conditions.

33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th