$a-c$ test of holography vs quantum renormalization group

Abstract

We show that a "constructive derivation" of the AdS/CFT correspondence based on the quantum local renormalization group in large N quantum field theories consistently provides the a-c holographic Weyl anomaly in d=4 at the curvature squared order in the bulk action. The consistency of the construction further predicts the form of the metric beta function.

6 pages, v2: minor corrections, v3: to be published in MPLA with all the comments by referee 2 of JHEP taken into account

References in corpus (5)

• Holographic c-theorems in arbitrary dimensions
• Holographic RG flow and the Quantum Effective Action
• Background independent holographic description : From matrix field theory to quantum gravity
• Generalized mirror symmetry and trace anomalies
• Geometric RG Flow

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• Connecting Holographic Wess--Zumino Consistency Conditions to the Holographic Anomaly
• Irrelevant Operators and their Holographic Anomalies
• Local renormalization group functions from quantum renormalization group and holographic bulk locality