Wheeler-DeWitt equation in AdS/CFT correspondence

Takahiro Kubota, Tatsuya Ueno, Naoto Yokoi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)200-204
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
Publication statusPublished - 2004 Jan 15
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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