PT-symmetric deformations of Calogero models

TL;DR

This paper explores PT-symmetric deformations of Calogero models using Coxeter groups, showing that such deformations can produce real spectra and extend the original models' properties.

Contribution

It introduces explicit PT-symmetric deformations for A_2 and G_2 Coxeter groups and applies them to Calogero-Moser-Sutherland models, revealing new spectral properties.

Findings

Deformations yield real eigenspectra

Spectra include original models as subsystems

Explicit constructions for A_2 and G_2 groups

Abstract

We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A_2 and G_2-Coxeter group and apply these constructions to Calogero-Moser-Sutherland models invariant under the extended Coxeter groups. The eigenspecta for the deformed models are real and contain the spectra of the undeformed case as subsystem.