Spinning Bound States of Two and Three Black Holes
Ruth Britto-Pacumio, Alexander Maloney, Mark Stern, Andrew, Strominger
TL;DR
This paper calculates the exact count of bound states of two and three black holes in five-dimensional supergravity, revealing how angular momentum influences their quantum states using a symmetry-consistent regulator.
Contribution
It provides the first exact computation of black hole bound state indices for multiple black holes in five-dimensional supergravity, incorporating angular momentum dependence.
Findings
Exact bound state index for two black holes as a function of angular momentum.
Exact bound state index for three black holes as a function of angular momentum.
Use of a superconformal symmetry-compatible regulator for near-coincident black holes.
Abstract
Bound states of BPS particles in five-dimensional N=2 supergravity are counted by a topological index. We compute this bound state index exactly for two and three black holes as a function of the SU(2)_L angular momentum. The required regulator for the infrared continuum of near-coincident black holes is chosen in accord with the enhanced superconformal symmetry.
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