Higher order curvature corrections and holographic renormalization group flow

We study the holographic renormalization group (RG) flow in the presence of higher-order curvature corrections to the (d + 1)-dimensional Einstein-Hilbert (EH) action for an arbitrary interacting scalar matter field by using the superpotential approach. We find the critical points of the RG flow near the local minima and maxima of the potential and show the existence of the bounce solutions. In contrast to the EH gravity, regarding the values of couplings of the bulk theory, superpotential may have both upper and lower bounds. Moreover, the behavior of the RG flow is controlled by singular curves. This study may shed some light on how a c-function can exist in the presence of these corrections.

Automated summary

The study examines the holographic renormalization group flow with higher-order curvature corrections, identifying critical points near local extrema of the potential and the existence of bounce solutions. Unlike EH gravity, the superpotential in the bulk theory may have upper and lower bounds for couplings, with the behavior of the RG flow being controlled by singular curves. This research sheds light on the existence of a c-function in the presence of such corrections.