PIRSA:25020039

Hidden symmetries of gravity on the Carrollian boundary

Vilatte, M. (2025). Hidden symmetries of gravity on the Carrollian boundary. Perimeter Institute. https://pirsa.org/25020039

Vilatte, Matthieu. Hidden symmetries of gravity on the Carrollian boundary. Perimeter Institute, Feb. 18, 2025, https://pirsa.org/25020039 

          @misc{ pirsa_PIRSA:25020039,
            doi = {10.48660/25020039},
            url = {https://pirsa.org/25020039},
            author = {Vilatte, Matthieu},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Hidden symmetries of gravity on the Carrollian boundary},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {feb},
            note = {PIRSA:25020039 see, \url{https://pirsa.org}}
          }

Matthieu Vilatte

Talk number
PIRSA:25020039
Collection
Talk Type
Subject
Abstract

Gravity possesses hidden symmetries that emerge upon dimensional reduction. One of the first examples being the Elhers SL(2,R) group revealed when reducing four-dimensional Einstein gravity to three-dimensions. However useful such symmetries are, especially to design solution generating techniques, they act in a highly non-local way on the gravitational data. On the other hand it is known that the solution space of asymptotically Flat spacetimes can be expressed covariantly in terms of an infinite number of tensors defined on the null conformal boundary. Therefore it is expected that hidden symmetries will act on the boundary data. In this talk, focusing on the simpler case of Petrov algebraically special spacetimes, I want to show that at the level of the boundary, the action becomes local, therefore much simpler, and makes explicit gravitational electric/magnetic dualities.