Cancellation of divergences in N=4 SYM/type IIB supergravity correspondence

Using Schroedinger functional methods, we show that in the N=4 SYM/type IIB supergravity correspondence the renormalisation of the boundary Newton and gravitational constants arising from bulk fields cancels when we sum over all the Kaluza-Klein modes of supergravity. This accords with the expected finiteness of N=4 SYM, and it is expected that other renormalisations cancel in a similar way