Towards 't Hooft parameter corrections to charge transport in strongly-coupled plasma

TL;DR

This paper investigates how 't Hooft coupling corrections affect R-charge transport in strongly-coupled supersymmetric plasmas using gauge/string duality, incorporating higher derivative corrections to supergravity backgrounds.

Contribution

It introduces a method to include order()^3 corrections in supergravity backgrounds for R-charge transport analysis in strongly-coupled plasmas.

Findings

Derived a universal set of higher derivative operators.

Computed R-charge conductivity at finite strong coupling.

Provided a framework for including ^3 corrections in transport calculations.

Abstract

We study R-charge transport in a wide class of strongly-coupled supersymmetric plasmas at finite temperature with 't Hooft coupling corrections. To achieve this, we use the gauge/string duality and include the full set of order(\alpha'^3) corrections to the supergravity backgrounds given at zeroth order by the direct product of the AdS-Schwarzschild black hole with a five-dimensional compact Einstein manifold. On general grounds, the reduction leads to a large number of higher derivative operators, which we reduce using the symmetries of the solution. We are left with a universal set of operators whose coefficients can in principle be fixed by carrying out an explicit compactification. We apply our results to the computation of the R-charge conductivity of the supersymmetric plasma at finite yet strong coupling.