TCFHs, hidden symmetries and type II theories

L. Grimanellis, G. Papadopoulos*, J. Phillips

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We present the twisted covariant form hierarchies (TCFH) of type IIA and IIB 10-dimensional supergravities and show that all form bilinears of supersymmetric backgrounds satisfy the conformal Killing-Yano equation with respect to a TCFH connection. We also compute the Killing-Stäckel, Killing-Yano and closed conformal Killing-Yano tensors of all spherically symmetric type II brane backgrounds and demonstrate that the geodesic flow on these solutions is completely integrable by giving all independent charges in involution. We then identify all form bilinears of common sector and D-brane backgrounds which generate hidden symmetries for particle and string probe actions. We also explore the question on whether charges constructed from form bilinears are sufficient to prove the integrability of probes on supersymmetric backgrounds.

Original languageEnglish
Article number97
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - Jul 2022


  • Conformal and W Symmetry
  • P-Branes
  • Supergravity Models
  • Superstring Vacua


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