Cancellation of divergences in $\mathcal{N}=4$ SYM/Type IIB Supergravity correspondence

Abstract

Using Schrödinger functional methods, we show that in the $\mathcal{N}=4$ 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 $\mathcal{N}=4$ SYM, and it is expected that other renormalisations cancel in a similar way.

7 pages

References in corpus (2)

• Order $1/N^2$ test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly
• Test of gauged N=8 SUGRA / N=1 SYM duality at sub-leading order

Cited by in corpus (1)

• The Boundary Weyl Anomaly in the $\mathcal{N}=4$ SYM/Type IIB Supergravity Correspondence