TCFHs and hidden symmetries of type IIA AdS backgrounds

TL;DR

This paper introduces twisted covariant form hierarchies (TCFHs) for warped IIA AdS backgrounds, revealing their relation to hidden symmetries and generalised conformal Killing-Yano equations, with implications for probe dynamics.

Contribution

It develops the formalism of TCFHs for IIA AdS backgrounds and links Killing spinor bilinears to hidden symmetries and Killing-Yano forms.

Findings

Killing spinor form bilinears satisfy a generalized conformal Killing-Yano equation.

Reduced holonomy of TCFH connections in generic backgrounds.

Certain bilinears generate hidden symmetries for probe particles.

Abstract

We present the twisted covariant form hierarchies (TCFHs) of warped (massive) IIA AdS backgrounds. As a consequence we demonstrate that all Killing spinor form bilinears satisfy a generalisation of the conformal Killing-Yano equation with respect to the TCFH connections. We also explore some of the properties of TCFHs which include the reduced holonomy of the minimal TCFH connections for generic backgrounds. Furthermore, we investigate the interplay between TCFHs and hidden symmetries of probes propagating on IIA AdS backgrounds. We find that some of the Killing spinor form bilinears of near horizon geometries of a class of IIA intersecting brane configurations are Killing-Yano forms and so generate hidden symmetries for spinning particle probes.