Holographic RG flows and transport coefficients in Einstein-Gauss-Bonnet-Maxwell theory

Understand

We apply the membrane paradigm and the holographic Wilsonian approach to the Einstein-Gauss-Bonnet-Maxwell theory.

• The transport coefficients for a quark-gluon plasma living on the cutoff surface are derived in a spacetime of charged black brane.
• Because of the mixing of the Gauss-Bonnet coupling and the Maxwell fields, the vector modes/shear modes of the metric and Maxwell fluctuations turn out to be very difficult to decouple.
• We firstly evaluate the AC conductivity at a finite cutoff surface by solving the equation of motion numerically, then manage to derive the radial flow of DC conductivity with the use of the Kubo formula.