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Particles versus fields in \( \mathcal{P}\mathcal{T} \)-symmetrically deformed integrable systems

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Abstract

We review some recent results on how \( \mathcal{P}\mathcal{T} \) symmetry, that is a simultaneous time-reversal and parity transformation, can be used to construct new integrable models. Some complex valued multi-particle systems, such as deformations of the Calogero-Moser-Sutherland models, are shown to arise naturally from real valued field equations of nonlinear integrable systems. Deformations of complex non-linear integrable field equations, some of them even allowing for compacton solutions, are also investigated. The integrabilty of various systems is established by means of the Painlevé test.

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  1. Centre for Mathematical Science, City University London, Northampton Square, London, EC1V 0HB, UK

    Andreas Fring

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  1. Andreas Fring
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Correspondence to Andreas Fring.

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Fring, A. Particles versus fields in \( \mathcal{P}\mathcal{T} \)-symmetrically deformed integrable systems. Pramana - J Phys 73, 363–373 (2009). https://doi.org/10.1007/s12043-009-0128-2

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