2011/08/30 by Mitsutoshi Fujita, Tadashi Takayanagi, Erik Tonni · 12 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Computer science #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Dimension (graph theory) #Dual polyhedron #Embedding #Field (mathematics) #Field theory (psychology) #Geometry #Holographic principle #Holography #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Neumann boundary condition #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum field theory #Quantum mechanics #Scaling dimension #String theory #Theoretical physics #cond-mat.str-el #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep11(2011)043
published as JHEP 1111:043,2011 · 41 pages, 10 figures; v2: further comments on earlier papers about a holographic dual with boundaries
arxiv created 2011/08/30 · openalex publication_date 2011/11/01 · arxiv updated 2011/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We expand the results of arXiv:1105.5165, where a holographic description of a conformal field theory defined on a manifold with boundaries (so called BCFT) was proposed, based on AdS/CFT. We construct gravity duals of conformal field theories on strips, balls and also time-dependent boundaries. We show a holographic g-theorem in any dimension. As a special example, we can define a `boundary central charge' in three dimensional conformal field theories and our holographic g-theorem argues that it decreases under RG flows. We also computed holographic one-point functions and confirmed that their scaling property agrees with field theory calculations. Finally, we give an example of string theory embedding of this holography by inserting orientifold 8-planes in AdS(4)xCP(3).