The boundary Weyl anomaly in the N = 4 SYM / type IIB supergravity correspondence.

Abstract

We give a complete account of the Schrödinger representation approach to the calculation of the Weyl anomaly of = 4 SYM from the AdS/CFT correspondence. On the AdS side, the 1/N2 correction to the leading order result receives contributions from all the fields of type-IIB Supergravity, the contribution of each field being given by a universal formula. The correct matching with the CFT result is thus a highly non-trivial test of the correspondence