Utrecht University

The AdS/CFT correspondence, proposed by Maldacena, conjectures a duality be-tween N = 4 SYM4 with a SU(N) gauge group and Type IIB string theory on AdS5×S5. In particular, in the large N limit, correlation functions in the strongly coupled gauge theory side can be calculated by considering the supergravity ap-proximation on the string theory side. In this thesis I will use this correspondence to compute a specific four-point correlator in the supergravity approximation. I will consider a four-point correlator of two weight-2 and two weight-3 12-BPS op-erators. These operators correspond to supergravity scalar fields of mass m2 = −4 and m2 = −3 respectively. First it is shown that the effective Lagrangian reduces to a simple expression. This is then used to compute the on-shell value, as prescribed by the AdS/CFT correspondence. To calculate this, a method to calculate vector and tensor ex-change diagrams is extended to include couplings to currents which aren’t con-served on-shell. Using this on-shell action, the four-point function is calculated