Holographic computation of quantum corrections to the bulk cosmological constant

Understand

We explore the program of 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 AdS space.
• We finally comment on how to generalize this computation to matrix elements of the Einstein operator for excited states.