Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Hardy-Lieb-Thirring and related inequalities for interacting
  systems   We prove analogues of the Lieb-Thirring and Hardy-Lieb-Thirring inequalities
for many-body quantum systems with fractional kinetic operators and homogeneous
interaction potentials, where no anti-symmetry on the wave functions is
assumed. These many-body inequalities imply interesting one-body interpolation
inequalities, and we show that the corresponding one- and many-body
inequalities are actually equivalent in certain cases.

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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
19
The categories of this paper are: eess