10.48660/22100039
Perimeter Institute
Perimeter Institute
Carroll symmetry in gravity and string theory
Perimeter Institute
2022
Video Recording
Quantum Gravity
2022-10-04T15:30:00
English
https://pirsa.org/22100039
video/mp4
I will discuss the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. The leading order in the expansion leads to an action that corresponds to the electric Carroll limit of general relativity, of which I will highlight some interesting properties. The next-to-leading order will also be obtained, which exhibits a particular subsector that correspond to the magnetic Carroll limit, which features a solution that describes the Carroll limit of a Schwarzschild black hole. The incorporation of a cosmological constant in the Carroll (or ultra-local) expansion will also be commented on. Finally, I will describe how Carroll symmetry and geometry arises on the world-sheet of certain limits of string theory sigma models.