A Note On The Canonical Formalism for Gravity

Marzo 13, 2023
De 11:30am hasta 1:00pm

Red Room

Specialist level
Speaker: 
José L. Fernández Barbón
Institution: 
IFT UAM/CSIC
Location&Place: 

Red Room

Abstract: 

Discussion of the paper  https://arxiv.org/abs/2212.08270  by E. Witten

Abstract: We describe a simple gauge-fixing that leads to a construction of a quantum Hilbert space for quantum gravity in an asymptotically Anti de Sitter spacetime, valid to all orders of perturbation theory. The construction is motivated by a relationship of the phase space of gravity in asymptotically Anti de Sitter spacetime to a cotangent bundle. We describe what is known about this relationship and some extensions that might plausibly be true. A key fact is that, under certain conditions, the Einstein Hamiltonian constraint equation can be viewed as a way to gauge fix the group of conformal rescalings of the metric of a Cauchy hypersurface. An analog of the procedure that we follow for Anti de Sitter gravity leads to standard results for a Klein-Gordon particle.

Zoom link:

https://us06web.zoom.us/j/89780562086?pwd=bS92N1h0TGV1cUcxb1FMZTlaTFNRZz09