Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry

DOI10.1007/JHEP12(2017)061zbMath1383.81220arXiv1710.00356MaRDI QIDQ1707722

Juan Mateos Guilarte, Mikhail S. Plyushchay

Publication date: 3 April 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00356

zbMATH Keywords

integrable hierarchiesdiscrete symmetriesconformal and W symmetryextended supersymmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) KdV equations (Korteweg-de Vries equations) (35Q53) Supersymmetric field theories in quantum mechanics (81T60) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (11)

Swanson Hamiltonian: non-PT-symmetry phase ⋮ Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems ⋮ Conformal bridge transformation, \( \mathcal{PT}\)- and supersymmetry ⋮ Symmetries and invariants for non-Hermitian Hamiltonians ⋮ Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry ⋮ A summary on symmetries and conserved quantities of autonomous Hamiltonian systems ⋮ Generalized Schrödinger equations with quadratical energy-dependence in the potential: Darboux transformations and application to the Heun class ⋮ Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems ⋮ Hallmarks of tunneling dynamics with broken reflective symmetry ⋮ Nonlinear Supersymmetry as a Hidden Symmetry ⋮ Hidden symmetry and (super)conformal mechanics in a monopole background

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