Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hidden supersymmetry and Berezin quantization of N=2, D=3 spinning
  superparticles   The first quantized theory of N=2, D=3 massive superparticles with arbitrary
fixed central charge and (half)integer or fractional superspin is constructed.
The quantum states are realized on the fields carrying a finite dimensional, or
a unitary infinite dimensional representation of the supergroups OSp(2|2) or
SU(1,1|2). The construction originates from quantization of a classical model
of the superparticle we suggest. The physical phase space of the classical
superparticle is embedded in a symplectic superspace
$T^\ast({R}^{1,2})\times{L}^{1|2}$, where the inner K\"ahler supermanifold
${L}^{1|2}=OSp(2|2)/[U(1)\times U(1)]=SU(1,1|2)/[U(2|2)\times U(1)]$ provides
the particle with superspin degrees of freedom. We find the relationship
between Hamiltonian generators of the global Poincar\'e supersymmetry and the
``internal'' SU(1,1|2) one. Quantization of the superparticle combines the
Berezin quantization on ${L}^{1|2}$ and the conventional Dirac quantization
with respect to space-time degrees of freedom. Surprisingly, to retain the
supersymmetry, quantum corrections are required for the classical N=2
supercharges as compared to the conventional Berezin method. These corrections
are derived and the Berezin correspondence principle for ${L}^{1|2}$ underlying
their origin is verified. The model admits a smooth contraction to the N=1
supersymmetry in the BPS limit.

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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: bayes-an