Emergent D4-Brane Background from D-Particles

TL;DR

This paper derives the emergent ten-dimensional supergravity background from a strongly coupled quantum mechanical model of D-particles interacting with D4-branes, revealing the geometry of the D4-brane near-horizon region.

Contribution

It demonstrates how a pre-geometric quantum model reproduces the classical D4-brane supergravity background, establishing a link between quantum mechanics and emergent spacetime geometry.

Findings

Effective action matches D4-brane near-horizon geometry

Identifies supergravity fields from quantum model

Shows emergent classical spacetime from quantum dynamics

Abstract

We show that the solution of a pre-geometric strongly coupled quantum mechanical model describing K D-particles in the presence of N D4-branes in type IIA string theory, at fixed K and large N, yields an effective action describing the motion of the K D-particles in a classical ten-dimensional curved space-time. By comparing the effective action with the non-abelian D-brane action in an arbitrary supergravity background, we identify the metric, dilaton and Ramond-Ramond fields and find a precise match with the near-horizon D4-brane geometry.