The holographic Weyl anomaly View Full Text


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Article Info

DATE

1998-07-30

AUTHORS

M. Henningson, K. Skenderis

ABSTRACT

We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity action in a manner consistent with general covariance. Up to a constant, the anomaly only depends on the dimension d of the manifold on which the conformal field theory is defined. We present concrete expressions for the anomaly in the physically relevant cases d = 2,4 and 6. In d = 2 we find for the central charge c = 3l/2GN, in agreement with considerations based on the asymptotic symmetry algebra of adS3. In d = 4 the anomaly agrees precisely with that of the corresponding = 4 superconformal SU(N) gauge theory. The result in d = 6 provides new information for the (0, 2) theory, since its Weyl anomaly has not been computed previously. The anomaly in this case grows as N3, where N is the number of coincident M5 branes, and it vanishes for a Ricci-flat background. More... »

PAGES

023

Identifiers

URI

http://scigraph.springernature.com/pub.10.1088/1126-6708/1998/07/023

DOI

http://dx.doi.org/10.1088/1126-6708/1998/07/023

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1035469031


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