We present a supersymmetric extension of the exotic Newtonian Chern–Simons gravity theory in three spacetime dimensions. The underlying new non-relativistic superalgebra is obtained by expanding the \({\mathcal {N}}=2\) AdS superalgebra and can be written as two copies of the enhanced Nappi–Witten algebra, one of which is augmented by supersymmetry. We show that the exotic Newtonian superalgebra allows to introduce a cosmological constant to the extended Newtonian supergravity. Interestingly, the obtained supergravity action contains the extended Newton–Hooke supergravity as a sub-case.

A preprint version of the article is available at ArXiv.

中文翻译：

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具有宇宙常数的三维奇异牛顿超引力理论

我们在三个时空维度上提出了奇异的牛顿陈-西蒙斯引力理论的超对称扩展。潜在的新非相对论超代数是通过扩展\({\mathcal {N}}=2\) AdS 超代数获得的，可以写成增强 Nappi-Witten 代数的两个副本，其中之一通过超对称性进行了增强。我们展示了奇异的牛顿超代数允许向扩展的牛顿超引力引入宇宙常数。有趣的是，获得的超重力作用包含扩展的牛顿-胡克超重力作为一个子案例。

该文章的预印版可在 ArXiv 上获得。