PIRSA:24090154

Celestial Holography from Euclidean AdS space.

Iacobacci, L. (2024). Celestial Holography from Euclidean AdS space.. Perimeter Institute. https://pirsa.org/24090154

Iacobacci, Lorenzo. Celestial Holography from Euclidean AdS space.. Perimeter Institute, Sep. 12, 2024, https://pirsa.org/24090154 

          @misc{ pirsa_PIRSA:24090154,
            doi = {10.48660/24090154},
            url = {https://pirsa.org/24090154},
            author = {Iacobacci, Lorenzo},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Celestial Holography from Euclidean AdS space.},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {sep},
            note = {PIRSA:24090154 see, \url{https://pirsa.org}}
          }

Lorenzo Iacobacci

Talk number
PIRSA:24090154
Collection
Talk Type
Subject
Abstract

We will explore the connection between Celestial and Euclidean Anti-de Sitter (EAdS) holography in the massive scalar case. Specifically, exploiting the so-called hyperbolic foliation of Minkowski space-time, we will show that each contribution to massive Celestial correlators can be reformulated as a linear combination of contributions to corresponding massive Witten correlators in EAdS. This result will be demonstrated explicitly both for contact diagrams and for the four-point particle exchange diagram, and it extends to all orders in perturbation theory by leveraging the bootstrapping properties of the Celestial CFT (CCFT).  Within this framework, the Kantorovic-Lebedev transform plays a central role, which will be introduced at the end of the talk. This transform will allow us to make broader considerations regarding non-perturbative properties of a CCFT.