Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetries of the spin-1/2 particle in the field of magnetic
  vortex, and anyons   The quantum nonrelativistic spin-1/2 planar systems in the presence of a
perpendicular magnetic field are known to possess the N=2 supersymmetry. We
consider such a system in the field of a magnetic vortex, and find that there
are just two self-adjoint extensions of the Hamiltonian that are compatible
with the standard N=2 supersymmetry. We show that only in these two cases one
of the subsystems coincides with the original spinless Aharonov-Bohm model and
comes accompanied by the super-partner Hamiltonian which allows a singular
behavior of the wave functions. We find a family of additional, nonlocal
integrals of motion and treat them together with local supercharges in the
unifying framework of the tri-supersymmetry. The inclusion of the dynamical
conformal symmetries leads to an infinitely generated superalgebra, that
contains several representations of the superconformal osp(2|2) symmetry. We
present the application of the results in the framework of the two-body model
of identical anyons. The nontrivial contact interaction and the emerging N=2
linear and nonlinear supersymmetries of the anyons are discussed.

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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th