PT-symmetric deformations of Calogero models

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.

19 pages, 2 figures, version acepted for publication

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• From real fields to complex Calogero particles
• Conduction bands in classical periodic potentials
• Quantum star-graph analogues of PT-symmetric square wells
• Non-Hermitian multi-particle systems from complex root spaces
• Integrable models from PT-symmetric deformations
• Deconstructing non-Dirac-hermitian supersymmetric quantum systems
• Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra
• $\mathcal{P}\mathcal{T}$ deformation of Calogero-Sutherland models
• Nonlinear supersymmetry as a hidden symmetry
• Supersymmetric V-systems
• Calogero-like model without rearrangement symmetry