Quasinormal modes for nonextreme Dp-branes and thermalizations of super-Yang-Mills theories

TL;DR

This paper computes quasinormal modes of nonextreme Dp-branes in supergravity to understand thermalization times in dual supersymmetric Yang-Mills theories at finite temperature.

Contribution

It provides numerical calculations of quasinormal frequencies for nonextreme Dp-branes, linking gravitational perturbations to thermalization in dual gauge theories.

Findings

Calculated quasinormal frequencies numerically.

Linked frequencies to thermalization timescales.

Enhanced understanding of gauge/gravity duality at finite temperature.

Abstract

The nonextreme Dp-brane solutions in type II supergravity(in the near-horizon limit) are expected to be dual to (p+1)-dimensional noncompact supersymmetric Yang-Mills theories at finite temperature. We study the translationally invariant perturbations along the branes in those backgrounds and calculate quasinormal frequencies numerically. These frequencies should determine the thermalization time scales in the dual Yang-Mills theories.