PT-symmetric deformations of Calogero models

doi:10.1088/1751-8113/41/19/194010

${\cal PT}$ -symmetric deformations of Calogero models

Andreas Fring et al 2008 J. Phys. A: Math. Theor. 41 194010 (17pp) doi: 10.1088/1751-8113/41/19/194010

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Andreas Fring¹ and Miloslav Znojil²
¹ Centre for Mathematical Science, City University, Northampton Square, London EC1V 0HB, UK
² Nuclear Physics Institute ASCR, 250 68 Řež, Czech Republic
E-mail: a.fring@city.ac.uk and znojil@ujf.cas.cz

Abstract. We demonstrate that Coxeter groups allow for complex ${\cal PT}$ -symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A₂ and G₂-Coxeter group and apply these constructions to Calogero–Moser–Sutherland models invariant under the extended Coxeter groups. The eigenspectra for the deformed models are real and contain the spectra of the undeformed case as subsystems.

PACS numbers: 03.65.−w, 02.30.Ik, 02.30.Jr, 03.65.Fd, 21.45.+v

Print publication: Issue 19 (16 May 2008)
Received 6 February 2008, in final form 10 March 2008
Published 29 April 2008

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${\cal PT}$ -symmetric deformations of Calogero models

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