Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems

DOI10.1007/JHEP01(2019)194zbMATH Open1409.81150arXiv1806.08740MaRDI QIDQ667290

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Publication date: 12 March 2019

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Abstract: We investigate how the Lax-Novikov integral in the perfectly invisible $PT$-regularized zero-gap quantum conformal and superconformal mechanics systems affects on their (super)-conformal symmetries. We show that the expansion of the conformal symmetry with this integral results in a nonlinearly extended generalized Shr"odinger algebra. The $PT$-regularized superconformal mechanics systems in the phase of the unbroken exotic nonlinear $mathcalN=4$ super-Poincar'e symmetry are described by nonlinearly super-extended Schr"odinger algebra with the $osp(2|2)$ sub-superalgebra. In the partially broken phase, the scaling dimension of all odd integrals is indefinite, and the $osp(2|2)$ is not contained as a sub-superalgebra.

Full work available at URL: https://arxiv.org/abs/1806.08740

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