Marc HenneauxCollège de FranceChamps, cordes et gravitéAnnée 2024-2025Gravité quantique et équation de Wheeler-DeWittSéminaire - Nele Callebaut : Radial canonical AdS3 gravity and TTbar theoryIntervenant(s)Nele CallebautUniversité de CologneRésuméIn 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.

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