Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models

@article{Mandal2017CoadjointOA,
  title={Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models},
  author={Gautam Mandal and Pranjal Nayak and Spenta R. Wadia},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2017},
  pages={1-42}
}
A bstractThe Nambu-Goldstone (NG) bosons of the SYK model are described by a coset space Diff/SL(2, ℝ), where Diff, or Virasoro group, is the group of diffeomorphisms of the time coordinate valued on the real line or a circle. It is known that the coadjoint orbit action of Diff naturally turns out to be the two-dimensional quantum gravity action of Polyakov without cosmological constant, in a certain gauge, in an asymptotically flat spacetime. Motivated by this observation, we explore Polyakov… 

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