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Algebraic integrability of ${\cal PT}$ -deformed Calogero models

Jun 9, 2021

16 pages

e-Print:

2106.05428 [hep-th]

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Abstract: (arXiv)

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.

Note:

16 pages, 10 figures, contribution to the proceedings in the Journal of Physics: Conference Series

charge: conservation law
Calogero model
algebra
integrability
deformation
spectral
regularization
hidden symmetry
review

References(76)

Figures(10)

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