Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds
arXiv:2001.07423 · doi:10.1007/JHEP07(2020)025
Abstract
We show that the Killing spinor equations of all supergravity theories which may include higher order corrections on a (r,s)-signature spacetime are associated with twisted covariant form hierarchies. These hierarchies are characterized by a connection on the space of forms which may not be degree preserving. As a consequence we demonstrate that the form Killing spinor bi-linears of all supersymmetric backgrounds satisfy a suitable generalization of conformal Killing-Yano equation with respect to this connection. To illustrate the general proof the twisted covariant form hierarchies of some supergravity theories in 4, 5, 6, 10 and 11 dimensions are also presented.
15 pages, minor corrections, a reference added
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Cited by in corpus (8)
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- Symmetries, Spinning Particles and the TCFH of D=4,5 Minimal Supergravities
- TCFHs, hidden symmetries and type II theories
- TCFHs, hidden symmetries and M-theory backgrounds
- The TCFHs of D=11 AdS backgrounds and hidden symmetries
- TCFHs and hidden symmetries of type IIA AdS backgrounds
- TCFHs, IIB warped AdS backgrounds and hidden symmetries
- Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion