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.

UR - http://www.scopus.com/inward/record.url?scp=0347597967&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347597967&partnerID=8YFLogxK

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 -