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The Boundary Weyl Anomaly in the ${\cal N}=4$ SYM/Type IIB Supergravity Correspondence

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arxiv hep-th/0311021 v1 pith:IRJH6VHT submitted 2003-11-04 hep-th

Paul Mansfield , David Nolland , Tatsuya Ueno This is my paper · ORCID
classification hep-th
keywords correspondenceanomalyresultsupergravitytypeweylaccountapproach
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abstract

We give a complete account of the Schr\"odinger representation approach to the calculation of the Weyl anomaly of ${\cal N}=4$ SYM from the AdS/CFT correspondence. On the AdS side, the $1/N^2$ correction to the leading order result receives contributions from all the fields of Type IIB Supergravity, the contribution of each field being given by a universal formula. The correct matching with the CFT result is thus a highly non-trivial test of the correspondence.

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Cited by 2 Pith papers

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  1. Semiclassical quantization of M5 brane probes wrapped on $\textrm{AdS}_3\times S^3$ and defect anomalies

    hep-th 2024-11 conditional novelty 6.0 of 10

    One-loop free energies of the three AdS3 x S3 M5 brane probes vanish, confirming the absence of order N^0 terms in the defect b-anomaly coefficients.

  2. On the Underlying Nonrelativistic Nature of Relativistic Holography

    hep-th 2025-02 conditional novelty 5.0 of 10

    Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.

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