Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions

TL;DR

This paper explores the superconformal structure of the moduli space of multiple supersymmetric black holes, revealing enhanced symmetries and decoupling in the near-horizon limit, with implications for quantum black hole dynamics.

Contribution

It introduces an unconventional supermultiplet framework for quantum mechanics on black hole moduli spaces and identifies an enhanced superconformal symmetry in the near-horizon regime.

Findings

Quantum mechanics admits 4 supersymmetries with a novel supermultiplet.

Near-horizon limit decouples black hole interactions, revealing enhanced symmetry.

The theory exhibits D(2,1;0) superconformal symmetry with SL(2,R) and SU(2) symmetries.

Abstract

Quantum mechanics on the moduli space of N supersymmetric Reissner-Nordstrom black holes is shown to admit 4 supersymmetries using an unconventional supermultiplet which contains 3N bosons and 4N fermions. A near-horizon limit is found in which the quantum mechanics of widely separated black holes decouples from that of strongly-interacting, near-coincident black holes. This near-horizon theory is shown to have an enhanced D(2,1;0) superconformal symmetry. The bosonic symmetries are SL(2,R) conformal symmetry and SU(2)xSU(2) R-symmetry arising from spatial rotations and the R-symmetry of N=2 supergravity.