4 papers · 1 filter
Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition
Oran Gannot, Michał Wrochna
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 singulari…
A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes
Wojciech Dybalski, Michał Wrochna
In the setting of non-interacting Klein-Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary…
Wick rotation of the time variables for two-point functions on analytic backgrounds
Michał Wrochna
We set up a general framework for Calderón projectors (and their generalization to non-compact manifolds), associated with complex Laplacians e.g. obtained by Wick rotation of a Lo…
The massive Feynman propagator on asymptotically Minkowski spacetimes II
Christian Gérard, Michal Wrochna
We consider the massive Klein-Gordon equation on short-range asymptotically Minkowski spacetimes. Extending our results in [GW1], we show that the Klein-Gordon operator with Feynma…