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

References in corpus (1)

• Making Sense of Non-Hermitian Hamiltonians

Cited by in corpus (3)

• From real fields to complex Calogero particles
• Integrable models from PT-symmetric deformations
• Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra