Marc Henneaux
Collège de France
Champs, cordes et gravité
Année 2024-2025
Gravité quantique et équation de Wheeler-DeWitt
Séminaire - Nele Callebaut : Radial canonical AdS3 gravity and TTbar theory
Intervenant(s)
Nele Callebaut
Université de Cologne
Résumé
In this talk, I will employ an ADM deparametrization strategy to discuss the radial canonical formalism for asymptotically AdS gravity in three dimensions. It leads to the identification of a radial 'time' before quantization, namely the volume time, which is canonically conjugate to York time. Holographically, this allows to interpret the semi-classical partition function of TTbar theory as a Schrodinger wavefunctional satisfying a Schrodinger evolution equation in volume time. The canonical perspective can be used to construct, from the Wheeler-DeWitt equation, the BTZ solution and corresponding semi-classical Wheeler-DeWitt states.