TY - JOUR
T1 - Wheeler-DeWitt equation in AdS/CFT correspondence
AU - Kubota, Takahiro
AU - Ueno, Tatsuya
AU - Yokoi, Naoto
N1 - Funding Information:
The authors would like to thank Gabriele Veneziano for helpful discussions at the early stage of the present work. The work of T.K. is supported in part by Grant in Aid for Scientific Research from the Japanese Ministry of Education (grant numbers 14540265 and 13135215). T.U. is supported by The Engineering and Physical Sciences Research Council (EPSRC), UK. The work of N.Y. is supported in part by the Japan Society for the Promotion of Science and the Swiss National Science Foundation.
PY - 2004/1/15
Y1 - 2004/1/15
N2 - We discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The Wheeler-DeWitt equation is proposed to generate the extended RG flow and to produce 1/N subleading corrections systematically. Our formulation in five dimensions is applied to the derivation of the Weyl anomaly of boundary N = 4 SU(N) super-Yang-Mills theory beyond the large N limit. It is shown that subleading 1/N2 corrections arising from fields in AdS5 supergravity agree with those obtained recently by Mansfield et al. using their Schrödinger equation, thereby guaranteeing to reproduce the exact form of the boundary Weyl anomaly after summing up all of the KK modes.
AB - We discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The Wheeler-DeWitt equation is proposed to generate the extended RG flow and to produce 1/N subleading corrections systematically. Our formulation in five dimensions is applied to the derivation of the Weyl anomaly of boundary N = 4 SU(N) super-Yang-Mills theory beyond the large N limit. It is shown that subleading 1/N2 corrections arising from fields in AdS5 supergravity agree with those obtained recently by Mansfield et al. using their Schrödinger equation, thereby guaranteeing to reproduce the exact form of the boundary Weyl anomaly after summing up all of the KK modes.
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U2 - 10.1016/j.physletb.2003.10.085
DO - 10.1016/j.physletb.2003.10.085
M3 - Article
AN - SCOPUS:0347597967
VL - 579
SP - 200
EP - 204
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -