PROPAGATION OF SINGULARITIES ON AdS SPACETIMES FOR GENERAL BOUNDARY CONDITIONS AND THE HOLOGRAPHIC HADAMARD CONDITION
| Autor: | Michał Wrochna, Oran Gannot |
|---|---|
| Přispěvatelé: | Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA), Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]) |
| Rok vydání: | 2020 |
| Předmět: |
010308 nuclear & particles physics
General Mathematics [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs Holography FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) 01 natural sciences General Relativity and Quantum Cosmology law.invention Mathematics - Analysis of PDEs Hadamard transform law 0103 physical sciences [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] FOS: Mathematics Gravitational singularity Boundary value problem 0101 mathematics Mathematical Physics Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Journal of the Institute of Mathematics of Jussieu. 21:67-127 |
| ISSN: | 1475-3030 1474-7480 |
| DOI: | 10.1017/s147474802000002x |
| Popis: | We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes subject to Neumann or Robin (or Dirichlet) boundary conditions, and prove propagation of singularities along generalized broken bicharacteristics. The result is formulated in terms of conormal regularity relative to a twisted Sobolev space. We use this to show the uniqueness, modulo regularising terms, of parametrices with prescribed b-wavefront set. Furthermore, in the context of quantum fields, we show a similar result for two-point functions satisfying a holographic Hadamard condition on the b-wavefront set. Comment: 65 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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