2023 - T1A - WS1 - Quantum gravity and random geometry

Collection 2023 - T1A - WS1 - Quantum gravity and random geometry

Organizer(s) Barrett, John ; Benedetti, Dario ; Ben Geloun, Joseph ; Loll, Renate

Date(s) 16/01/2023 - 20/01/2023

linked URL https://indico.math.cnrs.fr/event/7542/

2 23

3D quantum gravity and quantum groups

By Maïté Dupuis

I will give a quick overview of the q-deformed Loop Quantum Gravity (LQG) model which describes 3-dimensional quantum gravity with a cosmological constant. The model is characterized in terms of quantum group structures and the quantum Hamiltonian constraints define the Wheeler-DeWitt equations in this framework and generate the Turaev-Viro model (with real q, q being the deformation parameter). I will show, using the spinorial approach, how to construct a complete set of observables and how the notion of parallel transport can be encoded in terms of a quantum R-matrix.

Information about the video

Date of recording 16/01/2023
Date of publication 02/05/2024
Institution IHP
Language English
Audience Researchers
Director(s) Alexandre Duplessis, Marco Perez
Format MP4
Venue Amphitheater Hermite, IHP

Citation data

DOI 10.57987/IHP.2023.T1A.WS1.002
Cite this video Dupuis, Maïté (16/01/2023). 3D quantum gravity and quantum groups. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T1A.WS1.002
URL https://dx.doi.org/10.57987/IHP.2023.T1A.WS1.002

Domain(s)

Mathematical Physics

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