17–21 Apr 2023
Department of Applied Mathematics and Theoretical Physics
Europe/London timezone

Differential Equations for Cosmological Correlators

20 Apr 2023, 10:00
1h
MR2 (Department of Applied Mathematics and Theoretical Physics)

MR2

Department of Applied Mathematics and Theoretical Physics

Wilberforce Rd, Cambridge CB3 0WA

Speaker

Guilherme Pimentel (Scuola Normale Superiore)

Description

I will describe a geometric picture for cosmological perturbation theory. Through this geometry, we can determine differential equations satisfied by these correlators, as functions of their momenta. In this ``holographic” picture, cosmological time evolution is encoded in a sort of Hamiltonian (a flat connection) in kinematic space. I will also show how to move away from the highly symmetric de Sitter arena, adding a twist which describes cosmological correlation functions for power-law FLRW cosmologies.

Author

Guilherme Pimentel (Scuola Normale Superiore)

Presentation materials