Quantum extremal islands made easy. Part III. Complexity on the brane

A bstract We examine holographic complexity in the doubly model introduced [1, 2] to study quantum extremal islands. focus on complexity=volume (CV) proposal for boundary subregions island phase. Exploiting Fefferman-Graham expansion of metric and other geometric quantities near brane, we derive leading contributions interpret these terms generalized volume derived from induced higher-curvature gravity action brane. Motivated by results, propose a generalization CV higher curvature theories gravity. Further, provide two consistency checks our studying Gauss-Bonnet f (ℛ) bulk.