The TCFHs of D=11 AdS backgrounds and hidden symmetries

TL;DR

This paper investigates the structure of all AdS backgrounds in 11-dimensional supergravity, revealing generalized conformal Killing-Yano equations and uncovering hidden symmetries relevant for spinning particle probes.

Contribution

It introduces the TCFH of all AdS backgrounds in 11D supergravity and analyzes their properties, including hidden symmetries and generalized equations for Killing spinor bilinears.

Findings

Killing spinor bilinears satisfy generalized conformal Killing-Yano equations.

Identification of hidden symmetries for spinning particles on AdS backgrounds.

Examples include maximal supersymmetric and near horizon M-brane geometries.

Abstract

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.