2007/06/30 by Kostas Skenderis, Marika Taylor
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #Fermion #Field (mathematics) #Geometry #Gravitation #Holography #Limit (mathematics) #Mathematical analysis #Mathematical physics #Phase (matter) #Phase space #Physics #Plane (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Space (punctuation) #Spacetime #TRACE (psycholinguistics) #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/09/019
published as JHEP 0709:019,2007 · 67 pages, 6 figures; v2: typos corrected, refs added; v3: expanded explanations, more typos corrected
openalex publication_date 2007/09/05 · arxiv created 2008/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a comprehensive analysis of holography for the bubbling solutions of Lin-Lunin-Maldacena. These solutions are uniquely determined by a coloring of a 2-plane, which was argued to correspond to the phase space of free fermions. We show that in general this phase space distribution does not determine fully the 1/2 BPS state of N=4 SYM that the gravitational solution is dual to, but it does determine it enough so that vevs of all single trace 1/2 BPS operators in that state are uniquely determined to leading order in the large N limit. These are precisely the vevs encoded in the asymptotics of the LLM solutions. We extract these vevs for operators up to dimension 4 using holographic renormalization and KK holography and show exact agreement with the field theory expressions.