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arXiv · 2104.12908

Three-dimensional exotic Newtonian supergravity theory with cosmological constant

Patrick Concha·Lucrezia Ravera·Evelyn Rodríguez
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Abstract

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.

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Patrick Concha, Lucrezia Ravera, Evelyn Rodríguez. 2021-04-26. Three-dimensional exotic Newtonian supergravity theory with cosmological constant. https://doi.org/10.1140/epjc%2Fs10052-021-09456-3

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