PIRSA:25050013 Scientific Series Quantum Gravity

DOI10.48660/25050013

Series: Quantum Gravity

Henneaux, M. (2025). Carroll limit of gravity and spacelike (Belinski-Khalatnikov-Lifshitz) singularities. Perimeter Institute. https://pirsa.org/25050013

Henneaux, Marc. Carroll limit of gravity and spacelike (Belinski-Khalatnikov-Lifshitz) singularities. Perimeter Institute, May. 01, 2025, https://pirsa.org/25050013 

@misc{ pirsa_PIRSA:25050013,
  doi = {10.48660/25050013},
  url = {https://pirsa.org/25050013},
  author = {Henneaux, Marc},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Carroll limit of gravity and spacelike (Belinski-Khalatnikov-Lifshitz) singularities},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {may},
  note = {PIRSA:25050013 see, \url{https://pirsa.org}}
}

Abstract

Einstein's theory admits interesting limits with different causal structures obtained by letting the speed of light go to infinity (Galilean or "non-relativistic" limit) or to zero (Carrollian, sometimes called "ultrarelativistic", limit). The Carroll limit turns out to be relevant near spacelike (cosmological) singularities, and particularly so when p-form gauge fields are coupled to gravity as in the context of extended supergravities. The resulting differential equations possess a remarkable interpretation in terms of infinite-dimensional Kac-Moody algebras. The talk will review various aspects of Carroll invariant theories, of the Belinski-Khalatnikov-Lifshitz analysis of spacelike singularities and of the related symmetries.

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