The paper by Henningson and Skenderis calculates the Weyl anomaly for conformal field theories (CFTs) that can be described via the AdS/CFT correspondence. The authors regularize the gravitational part of the supergravity action in a way consistent with general covariance. The anomaly depends only on the dimension \( d \) of the manifold on which the CFT is defined, up to a constant. They present explicit expressions for the anomaly in physically relevant cases: \( d = 2 \), \( d = 4 \), and \( d = 6 \). For \( d = 2 \), the central charge \( c \) is found to be \( c = \frac{3l}{2G_N} \), which agrees with the asymptotic symmetry algebra of \( AdS_3 \). For \( d = 4 \), the anomaly matches the known result for the \( \mathcal{N} = 4 \) superconformal \( SU(N) \) gauge theory. For \( d = 6 \), the result provides new information about the $(0,2)$ superconformal field theory, showing that the anomaly grows as \( N^3 \), where \( N \) is the number of coincident \( M5 \) branes, and vanishes for a Ricci-flat background.The paper by Henningson and Skenderis calculates the Weyl anomaly for conformal field theories (CFTs) that can be described via the AdS/CFT correspondence. The authors regularize the gravitational part of the supergravity action in a way consistent with general covariance. The anomaly depends only on the dimension \( d \) of the manifold on which the CFT is defined, up to a constant. They present explicit expressions for the anomaly in physically relevant cases: \( d = 2 \), \( d = 4 \), and \( d = 6 \). For \( d = 2 \), the central charge \( c \) is found to be \( c = \frac{3l}{2G_N} \), which agrees with the asymptotic symmetry algebra of \( AdS_3 \). For \( d = 4 \), the anomaly matches the known result for the \( \mathcal{N} = 4 \) superconformal \( SU(N) \) gauge theory. For \( d = 6 \), the result provides new information about the $(0,2)$ superconformal field theory, showing that the anomaly grows as \( N^3 \), where \( N \) is the number of coincident \( M5 \) branes, and vanishes for a Ricci-flat background.