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arXiv · 1806.08740

Nonlinear symmetries of perfectly invisible $PT$-regularized conformal and superconformal mechanics systems

Juan Mateos Guilarte·Mikhail S. Plyushchay
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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 Shrödinger algebra. The $PT$-regularized superconformal mechanics systems in the phase of the unbroken exotic nonlinear $\mathcal{N}=4$ super-Poincaré symmetry are described by nonlinearly super-extended Schrödinger 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.

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Juan Mateos Guilarte, Mikhail S. Plyushchay. 2019-01-28. Nonlinear symmetries of perfectly invisible $PT$-regularized conformal and superconformal mechanics systems. https://doi.org/10.1007/jhep01(2019)194

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