Abstract
Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the c → ∞ limit of three dimensional \( \mathcal{N} \) = 2 super-gravity [1]. In the present paper we study supersymmetric backgrounds within this theory. Using integrability constraints for the non-relativistic Killing spinor equations, we explicitly construct all maximally supersymmetric solutions, which admit four supercharges. In addition to these solutions, there are \( \frac{1}{2} \) -BPS solutions with reduced supersymmetry. We give explicit examples of such backgrounds and derive necessary conditions for backgrounds preserving two supercharges. Finally, we address how supersymmetric backgrounds of \( \mathcal{N} \) = 2 supergravity are connected to the solutions found here in the c → ∞ limit.
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Knodel, G., Lisbão, P. & Liu, J.T. Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity. J. High Energ. Phys. 2016, 28 (2016). https://doi.org/10.1007/JHEP06(2016)028
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DOI: https://doi.org/10.1007/JHEP06(2016)028