The TCFHs of D = 11 AdS backgrounds and hidden symmetries

A bstract We present the TCFHs of all AdS backgrounds of 11-dimensional supergravity and explore some of the properties of the associated connections. Therefore, we demonstrate that all Killing spinor bilinears satisfy a generalisation of the conformal Killing-Yano equations with respect to the TCFH...

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Veröffentlicht in:The journal of high energy physics 2023-06, Vol.2023 (6), p.15-23, Article 15
Hauptverfasser: Papadopoulos, G., Pérez-Bolaños, E.
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Sprache:eng
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Zusammenfassung:A bstract We present the TCFHs of all AdS backgrounds of 11-dimensional supergravity and explore some of the properties of the associated connections. Therefore, we demonstrate that all Killing spinor bilinears satisfy a generalisation of the conformal Killing-Yano equations with respect to the TCFH connection. In addition, we explore the hidden symmetries of spinning particle probes propagating on these backgrounds. We give several examples of hidden symmetries for probes on the maximal supersymmetric AdS backgrounds as well as on some AdS backgrounds that arise as near horizon geometries of intersecting M-branes.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2023)015