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

Understand

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.