We discuss the change of the boundary entropy under an ambient renormalization group flow. We use conformal perturbation theory to calculate the change of the boundary entropy for d -dimensional BCFTs between two nearby fixed points. We also use the AdS d + 1 / BCFT d model to calculate the boundary entropy. We show that the boundary entropy can increase under the ambient renormalization group flow both in conformal perturbation theory and the AdS d + 1 / BCFT d model. In a special case, the change of the boundary entropy in the AdS d + 1 / BCFT d model reduces to that of the conformal perturbation theory.
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