Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic integrability of ${\cal PT}$-deformed Calogero models   We review some recents developments of the algebraic structures and spectral
properties of non-Hermitian deformations of Calogero models. The behavior of
such extensions is illustrated by the $A_2$ trigonometric and the $D_3$ angular
Calogero models. Features like intertwining operators and conserved charges are
discussed in terms of Dunkl operators. Hidden symmetries coming from the
so-called algebraic integrability for integral values of the coupling are
addressed together with a physical regularization of their action on the states
by virtue of a $\mathcal{PT}$-symmetry deformation.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org