Superconformal Black Hole Quantum Mechanics

TL;DR

This paper demonstrates that the growth of chiral primary states in a superconformal quantum mechanics model for D0 branes matches the Bekenstein-Hawking entropy of a corresponding Calabi-Yau black hole, supporting a holographic duality.

Contribution

It constructs and analyzes a superconformal quantum mechanics model for D0 branes in a black hole background, revealing a match with black hole entropy and proposing a holographic duality.

Findings

Chiral primary state growth matches black hole entropy.

Degeneracy arises from D0 branes in Landau levels.

Supports holographic duality between D0 brane CFT and IIA string theory.

Abstract

In recent work, the superconformal quantum mechanics describing D0 branes in the AdS_2xS^2xCY_3 attractor geometry of a Calabi-Yau black hole with D4 brane charges p^A has been constructed and found to contain a large degeneracy of chiral primary bound states. In this paper it is shown that the asymptotic growth of chiral primaries for N D0 branes exactly matches the Bekenstein-Hawking area law for a black hole with D4 brane charge p^A and D0 brane charge N. This large degeneracy arises from D0 branes in lowest Landau levels which tile the CY_3xS^2 horizon. It is conjectured that such a multi-D0 brane CFT1 is holographically dual to IIA string theory on AdS_2xS^2xCY_3.