Order 1/N^2 test of the Maldacena conjecture: Cancellation of the one-loop Weyl anomaly

Abstract

We test the Maldacena conjecture for type IIB String Theory/ N=4 Yang-Mills by calculating the one-loop corrections in the bulk theory to the Weyl anomaly of the boundary CFT when the latter is coupled to a Ricci-flat metric. The contributions cancel within each supermultiplet, in agreement with the conjecture.

LaTeX, 8 pages. Explanatory note added about boundary conditions. Typographical errors in table 2 corrected

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• 1/N^2 corrections to the holographic Weyl anomaly
• $c-a$ from the $N=1$ superconformal index
• Order $1/N^2$ test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly
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• The Holographic Supercurrent Anomaly
• Cancellation of divergences in $\mathcal{N}=4$ SYM/Type IIB Supergravity correspondence
• The Weyl Anomaly from the 6D Superconformal Index
• Holographic spectral functions for Sasaki-Einstein 5-manifolds
• Holography, Supergravity, and the Weak Gravity Conjecture
• Constructing CFTs from AdS flows