2015/12/31 by Gino Knodel, Pedro Lisbao, Pedro Lisbão +1 · 11 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Higher-dimensional supergravity #Killing spinor #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Physics #Pulsars and Gravitational Waves Research #Spinor #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep06(2016)028
published in Journal of High Energy Physics 2016(6) (Springer Nature) · 26 pages + 2 appendices, 2 figures; v2: references added, clarified which N=2 supergravity theory is being considered; v3: reference added; added clarification and explicit solutions to relativistic integrability conditions
arxiv created 2016/05/03 · openalex publication_date 2016/06/01 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the c → ∞ limit of three dimensional 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 (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 N = 2 supergravity are connected to the solutions found here in the c → ∞ limit.