The Yang-Mills duals of small AdS black holes

Abstract

We study the large $N$ matrix model for the index of 4d $\mathcal{N}=4$ Yang-Mills theory and its truncations to understand the dual AdS${}_5$ black holes. Numerical studies of the truncated models provide insights on the black hole physics, some of which we investigate analytically with the full Yang-Mills matrix model. In particular, we find many branches of saddle points which describe the known black hole solutions. We analytically construct the saddle points dual to the small black holes whose sizes are much smaller than the AdS radius. They include the asymptotically flat BMPV black holes embedded in large AdS with novel thermodynamic instabilities.

65 pages, 15 figures; v2: minor correction, references added; v3: minor correction

References in corpus (5)

• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Classical instability of Kerr-AdS black holes and the issue of final state
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• The growth of the $\frac{1}{16}$-BPS index in 4d $\mathcal{N}=4$ SYM

Cited by in corpus (4)

• EFT and the SUSY Index on the 2nd Sheet
• Exact QFT duals of AdS black holes
• Supersymmetric Grey Galaxies, Dual Dressed Black Holes and the Superconformal Index
• Witten index of BMN matrix quantum mechanics