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Título
Perfectly invisible PT-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry
Autor(es)
Materia
Conformal and W Symmetry
Discrete Symmetries
Extended Supersymme
Integrable Hierarchies
Clasificación UNESCO
22 Física
Fecha de publicación
2017-12-12
Citación
Guilarte, J.M., Plyushchay, M.S. Perfectly invisible PT-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry. J. High Energ. Phys. 2017, 61 (2017). https://doi.org/10.1007/JHEP12(2017)061
Resumen
[EN] We investigate a special class of the PT-symmetric quantum models being perfectly invisible zero-gap systems with a unique bound state at the very edge of continuous spectrum of scattering states. The family includes the PT-regularized two particle Calogero systems (conformal quantum mechanics models of de Alfaro-Fubini-Furlan) and their rational extensions whose potentials satisfy equations of the KdV hierarchy and exhibit, particularly, a behaviour typical for extreme waves. We show that the two simplest Hamiltonians from the Calogero subfamily determine the fluctuation spectra around the PT-regularized kinks arising as traveling waves in the field-theoretical Liouville and SU(3) conformal Toda systems. Peculiar properties of the quantum systems are reflected in the associated exotic nonlinear supersymmetry in the unbroken or partially broken phases. The conventional N=2 supersymmetry is extended here to the N=4 nonlinear supersymmetry that involves two bosonic generators composed from Lax-Novikov integrals of the subsystems, one of which is the central charge of the superalgebra. Jordan states are shown to play an essential role in the construction.
URI
DOI
10.1007/JHEP12(2017)061
Versión del editor
Colecciones
- MATHPHYS. Artículos [94]