The Ads/CFT correspondence conjecture states that the type IIB superstring theory in the AdS_5 X S^5 spacetime with N units of RR flux should describe same physics as the n=4 SU(N)supersymmetic gauge theory in four dimensions. At lowenergy level, there should exist a dual correspondence between the type IIB supergravity around AdS_5 X S^5 vacuum configuration and
largeN limit of n=4 supersymmetric YangMills theory. With a consideration on the compactification on S^5 and the consistent
truncation of massive KaluzaKlein modes, this conjecture implies a correspondence between the onshell n=8 SO(6) gauged AdS_5 supergravity and n=4 fourdimensional supersymmetric YangMills
theory in a n=4 conformal supergravity background furnished by the AdS_5 boundary data of gauged supergravity. This fact can be further generalized to the less supersymmetric cases. Based on this observation, the superconformal anomaly multiplet, which includes the chiral Rsymmetry, Weyl and superWeyl anomaly,
should be produced from the fivedimensional gauged supergravity. The holographic production of the superconformal anomaly multiplet
is a strong support and test to the AdS/CFT or generally gauge/gravity correspondence.
In this talk I shall first give an intuitively physical argument on the holography implied from the nonperturbative type II supersting theory. Then I shall introduce why and how the
superconformal anomaly multiplet of a classical conformal invariant supersymmetric gauge theory in a conformal supergravity background, specifically the superWeyl anomaly, can be extracted from the fivedimensional onshell gauged supergravity. Some relevant issues will also be discussed.
