Holographic conformal anomaly with bulk scalars potential from d3 and d5 gauged supergravity

Citation
S. Nojiri et al., Holographic conformal anomaly with bulk scalars potential from d3 and d5 gauged supergravity, PROG T PHYS, 104(4), 2000, pp. 867-876
Citations number
17
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
104
Issue
4
Year of publication
2000
Pages
867 - 876
Database
ISI
SICI code
0033-068X(200010)104:4<867:HCAWBS>2.0.ZU;2-W
Abstract
d3 and d5 maximally SUSY gauged supergravities are considered in the parame terization (flow) of the full scalar coset, where the kinetic term for scal ars takes the standard field theory form and the bulk potential is an arbit rary one subject to consistent parameterization. From such SG duals, we cal culate d2 and d4 holographic conformal anomalies which depend on the bulk s calar potential. AdS/CFT correspondence suggests that such an SG-side confo rmal anomaly should be identified with a (non-perturbative) QFT conformal a nomaly (taking account of radiative corrections) for the theory on the boun dary of the AdS space. In the limit of a constant bulk potential and a sing le scalar, the d4 result reproduces the known exact conformal anomaly corre sponding to maximally SUSY super Yang-Mills theory coupled to N = 4 conform al supergravity.