We explore the construction of the dual bulk theory in the flow equation approach. We compute the vacuum expectation value of the Einstein operator at the next-To-leading order in the $1/n$ expansion using a free O($n$) vector model. We interpret the next-To-leading correction as the quantum correction to the cosmological constant of the anti-de Sitter space. We finally comment on how to generalize this computation to matrix elements of the Einstein operator for excited states.
ASJC Scopus subject areas
- Physics and Astronomy(all)