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@ARTICLE{Altland:1047049,
      author       = {Altland, Alexander and Bagrets, Dmitry and Callebaut, Nele
                      and Weisenberger, Konstantin},
      title        = {{T}he chiral {SYK} model in three-dimensional holography},
      journal      = {SciPost physics},
      volume       = {18},
      number       = {6},
      issn         = {2542-4653},
      address      = {Amsterdam},
      publisher    = {SciPost Foundation},
      reportid     = {FZJ-2025-04095},
      pages        = {205},
      year         = {2025},
      abstract     = {A celebrated realization of the holographic principle
                      posits an approximate duality between the (0+1)-dimensional
                      quantum mechanical SYK model and two-dimensional
                      Jackiw-Teitelboim gravity, mediated by the Schwarzian action
                      as an effective low energy theory common to both systems. We
                      here propose a generalization of this correspondence to one
                      dimension higher. Starting from different microscopic
                      realizations of effectively chiral (1+1)-dimensional
                      generalizations of the SYK model, we derive a reduction to
                      the Alekseev-Shatashvilli (AS)-action, a minimal extension
                      of the Schwarzian action which has been proposed as the
                      effective boundary action of three-dimensional gravity. In
                      the bulk, we show how the same action describes fluctuations
                      around the Euclidean BTZ black hole configuration, the
                      dominant stationary solution of three-dimensional gravity.
                      These two constructions allow us to match bulk and boundary
                      coupling constants, and to compute observables.
                      Specifically, we apply semiclassical techniques inspired by
                      condensed matter physics to the computation of
                      out-of-time-order correlation functions (OTOCs),
                      demonstrating maximal chaos in the chiral SYK chain and its
                      gravity dual.},
      cin          = {PGI-12},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-12-20200716},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5221},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.21468/SciPostPhys.18.6.205},
      url          = {https://juser.fz-juelich.de/record/1047049},
}