Holographic computation of quantum corrections to the bulk cosmological constant

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.

1+16 pages, no figure, v2: minor corrections, v3: comments on one-loop tests of higher-spin/vector model duality and references added, typos fixed, published version

References in corpus (6)

• Infinite N phase transitions in continuum Wilson loop operators
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Background independent holographic description : From matrix field theory to quantum gravity
• AdS geometry from CFT on a general conformally flat manifold
• General Covariance from the Quantum Renormalization Group
• Connecting Holographic Wess--Zumino Consistency Conditions to the Holographic Anomaly

Cited by in corpus (3)

• Non-relativistic Hybrid Geometry with Gravitational Gauge-Fixing Term
• Perturbative analysis of the Wess-Zumino flow
• AdS/CFT correspondence for the $O(N)$ invariant critical ${\phi }^4$ model in 3-dimensions by the conformal smearing