No more CKY two-forms in the NHEK

Abstract

We show that in the near-horizon limit of a Kerr-NUT-AdS black hole, the space of conformal Killing-Yano two-forms does not enhance and remains of dimension two. The same holds for an analogous polar limit in the case of extremal NUT charge. We also derive the conformal Killing-Yano $p$-form equation for any background in arbitrary dimension in the form of parallel transport.

36 pages, 12 pdf figures, v2: minor changes

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• A simple test for spacetime symmetry
• Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity
• Homogeneous anisotropic solutions of topologically massive gravity with cosmological constant and their homogeneous deformations
• Massless geodesics in $Ad{S}_5\times Y(p,q)$ as a superintegrable system
• Hidden symmetries of near-horizon extremal Kerr-AdS-NUT geometries