Order $1/N^2$ test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly

Abstract

We compute the complete bulk one-loop contribution to the Weyl anomaly of the boundary theory for IIB Supergravity compactified on $Ad{S}_5\times S^5$. The result, that $\delta \mathcal{A}=(E+I)/(2{\pi }^2)$, reproduces the subleading term in the exact expression $\mathcal{A}=-(N^2-1)(E+I)/(2{\pi }^2)$ for the Weyl anomaly of $\mathcal{N}=4$ Super-Yang-Mills theory, confirming the Maldacena conjecture. The anomaly receives contributions from all multiplets casting doubt on the possibility of describing the boundary theory beyond leading order in $N$ by a consistent truncation to the `massless' multiplet of IIB Supergravity.

LaTeX, 6pp

Cited by in corpus (22)

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