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arXiv · hep-th/0310201

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

D. Nolland
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Abstract

Using Schrödinger 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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D. Nolland. 2003-10-21. Cancellation of divergences in ${\cal N}=4$ SYM/Type IIB Supergravity correspondence. https://doi.org/10.1016/j.physletb.2003.10.084

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