Holography at finite cutoff with a T 2 deformation

We generalize the TT¯\[ T\overline{T} \] deformation of CFT2 to higher-dimensional large-N CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We also derive the deformation dual to arbitrary bulk matter...

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Bibliographic Details
Published in:	The journal of high energy physics 2019-03, Vol.2019 (3), p.1-29
Main Authors:	Hartman, Thomas, Kruthoff, Jorrit, Shaghoulian, Edgar, Tajdini, Amirhossein
Format:	Article
Language:	eng
Subjects:	AdS-CFT Correspondence Conformal Field Theory Deformation Effective Field Theories Field theory Holography
Online Access:	Get full text
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Summary:	We generalize the TT¯\[ T\overline{T} \] deformation of CFT2 to higher-dimensional large-N CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We also derive the deformation dual to arbitrary bulk matter theories. Generally, the deformations involve background fields as well as CFT operators. By keeping track of these background fields along the flow, we demonstrate how to match correlation functions on the two sides in some simple examples, as well as other observables.
ISSN:	1029-8479