期刊
CLASSICAL AND QUANTUM GRAVITY
卷 30, 期 20, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/30/20/205005
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资金
- START project of the Austrian Science Fund (FWF) [Y 435-N16]
- NSF [PHY-0906222, PHY-1214344]
- Simons Center for Geometry and Physics
- Direct For Mathematical & Physical Scien
- Division Of Physics [1214344] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [906222] Funding Source: National Science Foundation
- Austrian Science Fund (FWF) [Y 435] Funding Source: researchfish
We construct a supersymmetric extension of three-dimensional Newton-Cartan gravity by gauging a super-Bargmann algebra. In order to obtain a non-trivial supersymmetric extension of the Bargmann algebra one needs at least two supersymmetries leading to a N = 2 super-Bargmann algebra. Due to the fact that there is a universal Newtonian time, only one of the two supersymmetries can be gauged. The other supersymmetry is realized as a fermionic Stueckelberg symmetry and only survives as a global supersymmetry. We explicitly show how, in the frame of a Galilean observer, the system reduces to a supersymmetric extension of the Newton potential. The corresponding supersymmetry rules can only be defined, provided we also introduce a 'dual Newton potential'. We comment on the four-dimensional case.
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