Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes
arXiv:2304.13744 · doi:10.1142/S0217979224300032
Abstract
This review is a contribution to a book dedicated to the memory of Michael E. Fisher. The first example of a quantum many body system not expected to have any quasiparticle excitations was the Wilson-Fisher conformal field theory. The absence of quasiparticles can be established in the compressible, metallic state of the Sachdev-Ye-Kitaev model of fermions with random interactions. The solvability of the latter model has enabled numerous computations of the non-quasiparticle dynamics of chaotic many-body states, such as those expected to describe quantum black holes. We review thermodynamic properties of the SYK model, and describe how they have led to an understanding of the universal structure of the low energy density of states of charged black holes without low energy supersymmetry.
arXiv comment28 pages, 10 figures; Published in "50 years of the renormalization group", https://doi.org/10.1142/13571 , dedicated to the memory of Michael E. Fisher, edited by Amnon Aharony, Ora Entin-Wohlman, David Huse, and Leo Radzihovsky, World Scientific; companion article on strange metals is arXiv:2305.01001
References in corpus (27)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- Emergent quantum criticality, Fermi surfaces, and AdS2
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
- Holographic metals and the fractionalized Fermi liquid
- Fermionic Localization of the Schwarzian Theory
- Universal quantum critical dynamics of two-dimensional antiferromagnets
- Non-Fermi liquid regime of a doped Mott insulator
- Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
- Universal Low-Energy Dynamics for Rotating Black Holes
- Power-law out of time order correlation functions in the SYK model
- Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
- Notes on the complex Sachdev-Ye-Kitaev model
- Planckian Dissipation in Metals
- Onset of many-body chaos in the model
- Universal theory of strange metals from spatially random interactions
- Periodic-orbit theory of universal level correlations in quantum chaos
- Universal low temperature theory of charged black holes with AdS horizons
- Extremal and Near-Extremal Black Holes and Near-
- Modular forms and a generalized Cardy formula in higher dimensions
- Snowmass White Paper: Quantum Aspects of Black Holes and the Emergence of Spacetime
- Black hole microstate counting from the gravitational path integral
- Revisiting the Logarithmic Corrections to the Black Hole Entropy
- Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model