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Exploring curved superspace
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DOI：10.1007/JHEP08(2012)141.png)
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Abstract
En 中文
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.
Keywords:
Differential and Algebraic Geometry
Supergravity Models
Superspaces
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W