Diffusion constant of supercharge density in N=4 SYM at finite chemical potential

TL;DR

This paper calculates the diffusion constant of supercharges in N=4 SYM at finite R-charge chemical potential using holography, providing analytical and numerical results for different charge configurations.

Contribution

It offers the first holographic computation of supercharge diffusion constants at finite chemical potential in N=4 SYM, including analytical solutions for small charges.

Findings

Analytical solutions for small R-charge chemical potential

Numerical results for arbitrary R-charge values

Comparison with existing 4D results

Abstract

We compute holographically the diffusion constant of supercharges in N=4 SYM at finite chemical potential for the R-charge, by solving the equations of motion for the transverse mode of the gravitino in the STU black hole in 5 dimensions. We consider the case of one charge and three charges, and we present analytical solutions for small values of the charges and numerical solutions for arbitrary values. We compare our results with other known results in 4 dimensions.