2006/02/28 by Thomas Hartman, Leonardo Rastelli · 8 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/01/019
published as JHEP0801:019,2008 · 30 pages, LaTex. v2: reference added
arxiv created 2007/11/09 · openalex publication_date 2008/01/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O2 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 cUV - cIR 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.