Supergravity the DBI Action and Black Hole Physics
S. P. de Alwis
TL;DR
The paper argues for a gauge/gravity duality in which the low-energy effective action on brane boundaries combines the bulk supergravity action with the DBI boundary action, and shows that the decoupling limit yields $AdS5×S^5$ while preserving the full DBI action in the gauge theory at intermediate energies. In the large-N, 't Hooft scaling the DBI terms survive, and the IR flow reduces to ${\\mathcal{N}=4}$ SYM, consistent with AdS/CFT. For the D1-D5-P five-dimensional black hole in the dilute gas region, the near-horizon geometry is BTZ×S^3×T^4, enabling a boundary CFT or effective boundary string description that explains the matching of entropy and radiation rates with supergravity without relying on supersymmetry. Collectively, the work unifies DBI corrections, AdS/CFT in the infrared, and an effective boundary string picture to account for Hawking radiation and graybody factors in black hole physics.
Abstract
The assumptions behind the recently conjectured relation between gauge theory and supergravity are elaborated on. It is pointed out that the scaling limit that preserves supergravity solutions, gives the entire DBI action on the gauge theory side, but in the low energy limit the relation between the conformal field theory and Anti-de Sitter supergravity emerges. We also argue that recent work on these issues may help in understanding the physics of five (four) dimensional black hole with three (four) charges in the so-called dilute gas region.