Scaling similarities and quasinormal modes of D0 black hole solutions

Abstract

We study the gravity solution dual to the D0 brane quantum mechanics, or BFSS matrix model, in the ’t Hooft limit.The classical physics described by this gravity solution is invariant under a scaling transformation, which changes the action with a specific critical exponent, sometimes called the hyperscaling violating exponent. We present an argument for this critical exponent from the matrix model side, which leads to an explanation for the peculiar temperature dependence of the entropy in this theory, S ∝ T9/5. We also present a similar argument for all other Dp-brane geometries.We then compute the black hole quasinormal modes. This involves perturbing the finite temperature geometry. These perturbations can be easily obtained by a mathematical trick where we view the solution as the dimensional reduction of an AdS2+9/5× S8 geometry.

Bootstrap bounds on D0-brane quantum mechanics

“…This is conceptually equivalent to considering off-diagonal elements E| Tr M |E . A hope is that one could match to gravity expectations, like the quasi-normal modes in [30].…”

Pseudospectra of holographic quasinormal modes

“…• It has recently been suggested that quasinormal modes can serve as a signature for having successfully simulated (quantum) gravity on a (quantum) computer [76,77].…”