2000/08/31 by Kirill Krasnov · 2 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Conical surface #Cosmological constant #Cosmology and Gravitation Theories #Geometry #Gravitational singularity #Interpretation (philosophy) #Liouville field theory #Mathematical analysis #Mathematical physics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Physics #Point (geometry) #Quantum gravity #Quantum mechanics #Semiclassical physics #Theoretical physics #Thermal quantum field theory #Vertex (graph theory) #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/18/7/311
published as Class.Quant.Grav. 18 (2001) 1291-1304 · 17 pages, 3 figures, references added
arxiv created 2000/09/11 · openalex publication_date 2001/03/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This paper elaborates on the bulk/boundary relation between negative cosmological constant three-dimensional gravity and Liouville field theory (LFT). We develop an interpretation of LFT non-normalizable states in terms of particles moving in the bulk. This interpretation is suggested by the fact that `heavy' vertex operators of LFT create conical singularities and thus should correspond to point particles moving inside AdS. We confirm this expectation by comparing the (semiclassical approximation to the) LFT two-point function with the (appropriately regularized) gravity action evaluated on the corresponding metric.