Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds

G. Papadopoulos*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Article number25
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - 1 Jul 2020


  • Differential and Algebraic Geometry
  • Global Symmetries
  • Supergravity Models


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