Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New family of models for incompressible quantum liquids in $d\geq 2$   Through Haldane's construction, the fractional quantum Hall states on a
two-sphere was shown to be the ground states of {\it one-dimensional} SU(2)
spin Hamiltonians. In this Letter we generalize this construction to obtain a
new class of SU(N) spin Hamiltonians. These Hamiltonians describes
center-of-mass-position conserving pair hopping fermions in space dimension
$d\ge 2$. We conjecture that the excitations of these models posses fractional
fermion number.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom