Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization of the ${\rm AdS}_3$ Superparticle on ${\rm
  OSP}(1|2)^2/{\rm SL}(2,\mathbb{R})$   We analyze ${\rm AdS}_3$ superparticle dynamics on the coset ${\rm OSP}(1|2)
\times {\rm OSP}(1|2)/{\rm SL}(2,\mathbb{R})$. The system is quantized in
canonical coordinates obtained by gauge invariant Hamiltonian reduction. The
left and right Noether charges of a massive particle are parametrized by
coadjoint orbits of a timelike element of $\frak{osp}(1|2)$. Each chiral sector
is described by two bosonic and two fermionic canonical coordinates
corresponding to a superparticle with superpotential $W=q-m/q$, where $m$ is
the particle mass. Canonical quantization then provides a quantum realization
of $\frak{osp}(1|2)\oplus\frak{osp}(1|2)$. For the massless particle the chiral
charges lie on the coadjoint orbit of a nilpotent element of $\frak{osp}(1|2)$
and each of them depends only on one real fermion, which demonstrates the
underlying $\kappa$-symmetry. These remaining left and right fermionic
variables form a canonical pair and the system is described by four bosonic and
two fermionic canonical coordinates. Due to conformal invariance of the
massless particle, the $\frak{osp}(1|2)\oplus\frak{osp} (1|2)$ extends to the
corresponding superconformal algebra $\frak{osp}(2|4)$. Its 19 charges are
given by all real quadratic combinations of the canonical coordinates, which
trivializes their quantization.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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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: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org