期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2012)141
关键词
Differential and Algebraic Geometry; Supergravity Models; Superspaces
资金
- DOE Fellowship in High Energy Theory
- Princeton University
- NSF [PHY-0969448]
- DOE [DE-FG02-90ER40542]
- Division Of Physics
- Direct For Mathematical & Physical Scien [969448] Funding Source: National Science Foundation
We systematically analyze Riemannian manifolds M that admit rigid supersymmetry, focusing on four-dimensional N = 1 theories with a U(1)(R) symmetry. We find that M admits a single supercharge, if and only if it is a Hermitian manifold. The supercharge transforms as a scalar on M. We then consider the restrictions imposed by the presence of additional supercharges. Two supercharges of opposite R-charge exist on certain fibrations of a two-torus over a Riemann surface. Upon dimensional reduction, these give rise to an interesting class of supersymmetric geometries in three dimensions. We further show that compact manifolds admitting two supercharges of equal R-charge must be hyperhermitian. Finally, four supercharges imply that M is locally isometric to M-3 x R, where M-3 is a maximally symmetric space.
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