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arXiv · 2510.26748

Ladder Symmetries of Higher Dimensional Black Holes

Roman Berens·Lam Hui·Daniel McLoughlin·Adam R. Solomon·John Staunton
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Abstract

We compute the ladder operators for static tidal perturbations to higher-dimensional black holes. These operators map between solutions of the relevant equation of motion at different multipole orders. We focus on spin 0, 1 and 2 perturbations to the Schwarzschild-Tangherlini black hole and on spin 0 perturbations to the 5D Myers-Perry black hole. The ladder structure, used in conjunction with the existence of special ground state solutions, explains why the Love numbers of these higher-dimensional black holes vanish for specific combinations of the multipole moment and number of spacetime dimensions. This generalizes previous work on a ladder symmetry explanation for the vanishing of 4D black hole static Love numbers to higher dimensions.

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Roman Berens, Lam Hui, Daniel McLoughlin, Adam R. Solomon, John Staunton. 2025-10-30. Ladder Symmetries of Higher Dimensional Black Holes. https://arxiv.org/abs/2510.26748

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