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arXiv · 1809.08527

Hidden symmetries of rationally deformed superconformal mechanics

Luis Inzunza·Mikhail S. Plyushchay
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Abstract

We study the spectrum generating closed nonlinear superconformal algebra that describes $\mathcal{N}=2$ super-extensions of rationally deformed quantum harmonic oscillator and conformal mechanics models with coupling constant $g=m(m+1)$, $m\in {\mathbb N}$. It has a nature of a nonlinear finite $W$ superalgebra being generated by higher derivative integrals, and generally contains several different copies of either deformed superconformal $\mathfrak{osp}(2|2)$ algebra in the case of super-extended rationally deformed conformal mechanics models, or deformed super-Schrodinger algebra in the case of super-extension of rationally deformed harmonic oscillator systems.

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Luis Inzunza, Mikhail S. Plyushchay. 2018-09-23. Hidden symmetries of rationally deformed superconformal mechanics. https://doi.org/10.1103/physrevd.99.025001

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