PIRSA:18050067 Scientific Series Quantum Fields and Strings

DOI10.48660/18050067

Series: Quantum Fields and Strings

Obers, N. (2018). Non-Lorentzian geometry in gravity, string theory and holography. Perimeter Institute. https://pirsa.org/18050067

Obers, Niels. Non-Lorentzian geometry in gravity, string theory and holography. Perimeter Institute, May. 29, 2018, https://pirsa.org/18050067 

@misc{ pirsa_PIRSA:18050067,
  doi = {10.48660/18050067},
  url = {https://pirsa.org/18050067},
  author = {Obers, Niels},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Non-Lorentzian geometry in gravity, string theory and holography},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {may},
  note = {PIRSA:18050067 see, \url{https://pirsa.org}}
}

Abstract

I will present a brief introduction to non-Lorentzian geometries, an important example of such geometries being Newton-Cartan geometry and its torsionful generalization, which is the natural geometry to which non-relativistic field theories couple to. The talk will subsequently review how such geometries have in recent years appeared in gravity, string theory and holography. In particular, torsional Newton-Cartan geometry has been shown to appear as the boundary geometry for Lifshitz spacetimes. Furthermore, dynamical Newton-Cartan geometry is related to Horava-Lifsthiz gravity theories and appears in novel Chern-Simons theories of gravity in three dimensions. The latter can be obtained from a well-defined limit of the AdS3/CFT2 correspondence. Finally, I will briefly comment on how Newton-Cartan geometry appears in non-relativistic string theory.

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