Gravity on Null Hypersurfaces: Phase Space and Quantization
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Le 15/02/2024, de 02:00 à 03:00 |
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| Participants |
Luca Ciambelli |
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Jeudi 15 Février
Title: Gravity on Null Hypersurfaces: Phase Space and Quantization
Luca Ciambelli (Perimeter Institute)
Abstract:
Using an intrinsic perspective, the Einstein equations
projected to a generic null hypersurface (Raychaudhuri and Damour
equations) can be understood as conservation laws for a Carrollian
stress tensor. After reviewing the salient ingredients of null
geometries, we introduce the canonical symplectic phase space and
compute the Poisson brackets among the gravitational dynamical fields.
We then perform a perturbative expansion in Newton's constant, and
quantize the phase space order by order. This leads to the
appreciation of the Raychaudhuri equation as a stress tensors balance
law, where the geometric data behave like a curved beta-gamma CFT per
null generator. This opens a window toward a constructive (bottom-up)
approach to quantum gravity.