Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetry breaking and Nambu-Goldstone fermions with cubic
  dispersion   We introduce a lattice fermion model in one spatial dimension with
supersymmetry (SUSY) but without particle number conservation. The Hamiltonian
is defined as the anticommutator of two nilpotent supercharges $Q$ and
$Q^\dagger$. Each supercharge is built solely from spinless fermion operators
and depends on a parameter $g$. The system is strongly interacting for small
$g$, and in the extreme limit $g=0$, the number of zero-energy ground states
grows exponentially with the system size. By contrast, in the large-$g$ limit,
the system is non-interacting and SUSY is broken spontaneously. We study the
model for modest values of $g$ and show that under certain conditions
spontaneous SUSY breaking occurs in both finite and infinite chains. We analyze
the low-energy excitations both analytically and numerically. Our analysis
suggests that the Nambu-Goldstone fermions accompanying the spontaneous SUSY
breaking have cubic dispersion at low energies.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex