Multi-Centered Black Hole Index from a Superconformal Quiver Index

Canberk Sanli

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arXiv · 2509.07838

Multi-Centered Black Hole Index from a Superconformal Quiver Index

Canberk Sanli

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Abstract

We formulate a $D(2,1;0)$ superconformal index for scaling quiver quantum mechanics in its gauged sigma model description. These quivers describe the Coulomb-branch dynamics of multi-centered D-brane configurations in the $AdS_2$ scaling limit of type II Calabi--Yau compactifications. Using supersymmetric localization, we obtain a fixed-point formula for this superconformal quiver index which reproduces the Manschot--Pioline--Sen index $g_{\rm ref}$ of multi-centered BPS black hole solutions.

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Canberk Sanli. 2025-09-09. Multi-Centered Black Hole Index from a Superconformal Quiver Index. https://arxiv.org/abs/2509.07838

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