Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical even unimodular lattices in the Gaussian core model   We consider even unimodular lattices which are critical for potential energy
with respect to Gaussian potential functions in the manifold of lattices having
point density 1. All even unimodular lattices up to dimension 24 are critical.
We show how to determine the Morse index in these cases. While all these
lattices are either local minima or saddle points, we find lattices in
dimension 32 which are local maxima. Also starting from dimension 32 there are
non-critical even unimodular lattices.

7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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