Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT

dc.creatorHartman, Thomas
dc.creatorRastelli, Leonardo
dc.date2006-02-10
dc.date2007-11-09
dc.date.accessioned2026-07-07T11:27:23Z
dc.date.available2026-07-07T11:27:23Z
dc.descriptionAccording to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we address various aspects of this correspondence. The change c_{UV} - c_{IR} of the central charge between the UV ad IR fixed points is known from explicit calculations (hep-th/0210093, hep-th/0212138) to be exactly the same in the bulk and in the boundary theories. By comparing the appropriate bulk and boundary functional determinants, we give a simple ``kinematic'' explanation for this universal agreement. We also clarify the prescription for computing AdS/CFT correlators with Delta_- boundary conditions.
dc.description30 pages, LaTex. v2: reference added
dc.identifierhttps://arxiv.org/abs/hep-th/0602106
dc.identifierhttp://arxiv.org/abs/hep-th/0602106
dc.identifierJHEP0801:019,2008
dc.identifierdoi:10.1088/1126-6708/2008/01/019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196133
dc.subjectHigh Energy Physics - Theory
dc.titleDouble-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
dc.typetext

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