Holographic and Wilsonian Renormalization Groups

Abstract

We develop parallels between the holographic renormalization group in the bulk and the Wilsonian renormalization group in the dual field theory. Our philosophy differs from most previous work on the holographic RG; the most notable feature is the key role of multi-trace operators. We work out the forms of various single- and double-trace flows. The key question, `what cutoff on the field theory corresponds to a radial cutoff in the bulk?' is left unanswered, but by sharpening the analogy between the two sides we identify possible directions.

31 pages, 3 figures. v2: Minor clarifications. Added references

References in corpus (15)

• Holography from Conformal Field Theory
• Holographic representation of local bulk operators
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Effective Conformal Theory and the Flat-Space Limit of AdS
• Wilsonian Approach to Fluid/Gravity Duality
• AdS/CFT correspondence and Geometry
• Large N Field Theory and AdS Tachyons
• More Holography from Conformal Field Theory
• New stability results for Einstein scalar gravity
• Complementarity in the Multiverse
• Holographic description of quantum field theory
• Multitrace deformations, Gamow states, and Stability of AdS/CFT
• Holography and Renormalization in Lorentzian Signature
• An exact statement for Wilsonian and Holographic renormalization group
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