SUGRA on AdS

Consider Type IIB SUGRA in and supersymmetric Yang-Mills on the boundary. We can proceed in two ways, which are equivalent because of the AdS/CFT duality:

1. Renormgroup flow on the boundary

2. Classical solutions of SUGRA in the bulk

We fix some map from the space of solutions of the linearized SUGRA equations to the space of nonlinear solutions. Then we study the deviation of this map from being -invariant.

Here we will discuss the second approach.