Journal of High Energy Physics

, 2018:86 | Cite as

Finite cutoff AdS5 holography and the generalized gradient flow

  • Vasudev ShyamEmail author
Open Access
Regular Article - Theoretical Physics


Recently proposed double trace deformations of large N holographic CFTs in four dimensions define a one parameter family of quantum field theories, which are interpreted in the bulk dual as living on successive finite radius hypersurfaces. The transformation of variables that turns the equation defining the deformation of a four dimensional large N CFT by such operators into the expression for the radial ADM Hamiltonian in the bulk is found.

This prescription clarifies the role of various functions of background fields that appear in the flow equation defining the deformed holographic CFT, and also their relationship to the holographic anomaly.

The effect of these deformations can also be seen as triggering a generalized gradient flow for the fields of the induced gravity theory obtained from integrating out the fundamental fields of the holographic CFT. The potential for this gradient flow is found to resemble the two derivative effective action previously derived using holographic renormalization.


AdS-CFT Correspondence Renormalization Group Classical Theories of Gravity Gauge-gravity correspondence 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Perimeter Institute for Theoretical PhysicsWaterlooCanada

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