Würzburg 2018 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: QFT in Curved Spacetimes

MP 2.2: Vortrag

Dienstag, 20. März 2018, 11:45–12:05, Z6 - SR 1.012

The holographic Hadamard condition on asymptotically AdS spacetimes — •Michał Wrochna — Université Grenoble Alpes, Institut Fourier, 38058 Grenoble, France

Presently, one of the key difficulties in the formulation of QFT on spacetimes that are not globally hyperbolic is the lack of a good substitute of the celebrated Hadamard condition. In settings with a time-like boundary, while it is possible to consider a direct analogue of the Hadamard condition away from the boundary, this does not suffice in applications in holography. A further problem with this idea is that singularities can propagate to the bulk from the boundary, where no control on the regularity is assumed. In this talk, I will focus on asymptotically Anti-de Sitter spacetimes and show that by considering a "holographic Hadamard condition" instead, one can overcome those difficulties and set up a consistent framework for non-interacting scalar quantum fields in the bulk and for the induced conformal fields on the boundary.