2015/12/31 by Marcelo Botta-Cantcheff, Pedro J. Martínez, Guillermo A. Silva · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Consistency (knowledge bases) #Excited state #Holography #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Product (mathematics) #Quantum #Quantum Electrodynamics and Casimir Effect #Wave function #hep-th
paper · pdf · doi:10.1007/jhep02(2016)171
16 pages, 6 figures, accepted for publication by JHEP
openalex publication_date 2016/02/01 · arxiv created 2016/02/26 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Skenderis-van Rees prescription, which allows the calculation of time-ordered correlation functions of local operators in CFT’s using holographic methods is studied and applied for excited states. Calculation of correlators and matrix elements of local CFT operators between generic in/out states are carried out in global Lorentzian AdS. We find the precise form of such states, obtain an holographic formula to compute the inner product between them, and using the consistency with other known prescriptions, we argue that the in/out excited states built according to the Skenderis-Van Rees prescription correspond to coherent states in the (large-N ) AdS-Hilbert space. This is confirmed by explicit holographic computations. The outcome of this study has remarkable implications on generalizing the Hartle-Hawking construction for wave functionals of excited states in AdS quantum gravity.