Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Massive spinning particle on anti-de Sitter space   To describe a massive particle with fixed, but arbitrary, spin on $d=4$
anti-de Sitter space $M^4$, we propose the point-particle model with
configuration space ${\cal M}^6 = M^{4}\times S^{2}$, where the sphere $S^2$
corresponds to the spin degrees of freedom. The model possesses two gauge
symmetries expressing strong conservation of the phase-space counterparts of
the second- and fourth-order Casimir operators for $so(3,2)$. We prove that the
requirement of energy to have a global positive minimum $E_o$ over the
configuration space is equivalent to the relation $E_o > s$, $s$ being the
particle's spin, what presents the classical counterpart of the quantum massive
condition. States with the minimal energy are studied in detail. The model is
shown to be exactly solvable. It can be straightforwardly generalized to
describe a spinning particle on $d$-dimensional anti-de Sitter space $M^d$,
with ${\cal M}^{2(d-1)} = M^d \times S^{(d-2)}$ the corresponding configuration
space.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int