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arXiv · 2604.26786

Probing black holes with equivariant localization

Pietro Benetti Genolini·Christopher Couzens·Alice Lüscher
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Abstract

We introduce equivariant localization as a method for computing the action of probe branes in supergravity backgrounds. We apply it to supersymmetric probe D3-branes in type IIB supersymmetric spacetimes obtained by uplifting the Kerr-Newman-AdS$_5$ black hole on a toric Sasaki-Einstein space. Depending on the cycles they wrap, such branes represent non-perturbative corrections to or defect operator insertions in the superconformal index of a large family of four-dimensional $\mathcal{N}=1$ quiver superconformal field theories. The resulting action reduces to equivariant integrals and can be evaluated entirely from toric data.

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Pietro Benetti Genolini, Christopher Couzens, Alice Lüscher. 2026-04-29. Probing black holes with equivariant localization. https://arxiv.org/abs/2604.26786

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