Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigorous results for a hierarchy of generalized Heisenberg models   The Lieb-Schultz-Mattis theorem is extended to generalized Heisenberg models
related to non-exceptional Lie algebras. It is shown that there are no energy
gaps above the ground sates for SO(4), Sp(2) and SU(4) Heisenberg models, gaps
are suspected to occur in SO(5) and SO(6) models. The nondegenerate ground
state for these models is rigorously proven.

0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph