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

Paul Mansfield·David Nolland·Tatsuya Ueno
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Abstract

We give a complete account of the Schrödinger 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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Paul Mansfield, David Nolland, Tatsuya Ueno. 2003-11-04. The Boundary Weyl Anomaly in the ${\cal N}=4$ SYM/Type IIB Supergravity Correspondence. https://doi.org/10.1088/1126-6708%2F2004%2F01%2F013

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