The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes

DOI10.1007/s11005-017-0988-1zbMath1386.81126arXiv1612.01203OpenAlexW2560616168MaRDI QIDQ1683796

Michał Wrochna

Publication date: 1 December 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01203

zbMATH Keywords

holographyasymptotically anti-de Sitter spacetimesquantum field theory on curved spacetimesHadamard condition

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc. (35S35)

Related Items

Algebraic quantum field theory on spacetimes with timelike boundary ⋮ On the algebraic quantization of a massive scalar field in anti-de Sitter spacetime ⋮ A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes ⋮ Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes ⋮ On Maxwell's equations on globally hyperbolic spacetimes with timelike boundary ⋮ Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary ⋮ Møller operators and Hadamard states for Dirac fields with MIT boundary conditions ⋮ PROPAGATION OF SINGULARITIES ON AdS SPACETIMES FOR GENERAL BOUNDARY CONDITIONS AND THE HOLOGRAPHIC HADAMARD CONDITION ⋮ Quantum fields on semi-globally hyperbolic space-times

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