Second order transport coefficients of nonconformal fluids from compactified Dp-branes

TL;DR

This paper derives all second order transport coefficients for nonconformal fluids from compactified Dp-branes using fluid/gravity correspondence, confirming key theoretical relations.

Contribution

It provides the first comprehensive derivation of second order transport coefficients for various compactified Dp-brane backgrounds.

Findings

All coefficients satisfy Haack-Yarom, Romatschke, Kleinert-Probst relations.

Explicit formulas for D4, D3, D2-branes with various compactifications.

Enhances understanding of nonconformal fluid dynamics in holography.

Abstract

All the 7 dynamical second order transport coefficients of the nonconformal fluids that correspond to Dp-branes with one or more world-volume directions compactified are derived via fluid/gravity correspondence. The conditions considered in this paper include D4-brane with 1, 2 or 3 compact directions, D3-brane with 1 or 2 compact directions, as well as D2-brane with 1 direction compactified. The derived second order transport coefficients satisfy the Haack-Yarom, Romatschke and Kleinert-Probst relations.