Holographic computation of quantum corrections to the bulk cosmological constant

TL;DR

This paper uses the flow equation approach to compute quantum corrections to the bulk cosmological constant in AdS space, employing a free O(n) vector model and exploring next-to-leading order effects.

Contribution

It introduces a method to calculate quantum corrections to the cosmological constant via the flow equation approach in holography, extending previous classical analyses.

Findings

Quantum correction to the cosmological constant computed at next-to-leading order.

Demonstrated the use of a free O(n) vector model for holographic calculations.

Discussed potential generalizations to excited states and matrix elements.

Abstract

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.