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

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

2003-10-21

arxiv.org/abs/hep-th/0310201v1

Phys.Lett. B579 (2004) 235-238

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

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

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