Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly

2002/08/31 by Paul Mansfield, David Nolland, Tatsuya Ueno · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/s0370-2693(03)00750-0

published as Phys.Lett. B565 (2003) 207-210 · LaTeX, 6pp

arxiv created 2003/05/06 · openalex publication_date 2003/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We compute the complete bulk one-loop contribution to the Weyl anomaly of the boundary theory for IIB supergravity compactified on AdS5×S5. The result, that δA=(E+I)/π2, reproduces the subleading term in the exact expression A=−(N2−1)(E+I)/π2 for the Weyl anomaly of 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.

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• Holography, Supergravity, and the Weak Gravity Conjecture
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• The Boundary Weyl Anomaly in the = 4 SYM/Type IIB Supergravity Correspondence