Instituut voor Theoretische Fysica, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium
KU Leuven
doi
10.1088/1126-6708/1998/07/023
Springer Nature - SN SciGraph project
Mathematical Sciences
1998
http://iopscience.iop.org/article/10.1088/1126-6708/1998/07/023/meta
1998-07-30
en
1998-07-30
The holographic Weyl anomaly
true
https://scigraph.springernature.com/explorer/license/
articles
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.
non_research_article
023
2019-04-10T17:48
European Organization for Nuclear Research
Theory Division, CERN, CH-1211 Geneva 23, Switzerland
K.
Skenderis
dimensions_id
pub.1035469031
a8f59816e6c3783bb426ac5701c73539dc956dfbf360685f9724bb678725fc15
readcube_id
1126-6708
1029-8479
Journal of High Energy Physics
07
Henningson
M.
Pure Mathematics