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Friday, May 26, 2023
11:00 AM - 12:00 PM
Online and In-Person Event

High Energy Theory Seminar

Kallen-Lehman representations in de Sitter spacetime
Zimo Sun, Princeton University,

In this talk, I will provide an overview of the representation theory of the de Sitter isometry group SO(1, d+1) and use it to derive the Kallen-Lehman spectral decomposition of any spin J bulk two-point function in a fixed de Sitter background.  I will introduce an inversion formula for the spectral density and explore its generic analytical properties. Various examples of  exactly solvable spectral densities with be presented, and in these examples I will also discuss the broader mathematical and physical implications of the spectral density, including the tensor product of SO(1, d+1) UIRs and the CFT data of bulk operators.

In person attendees (469 Lauritsen) must have a valid Caltech ID.

Contact [email protected] for Zoom information.