This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

A bstract We describe numerous properties of the Sachdev-Ye-Kitaev model for complex
fermions with N≫ 1 flavors and a global U (1) charge. We provide a general definition of the …

We describe the large-N saddle point, and the structure of fluctuations about the saddle
point, of a theory containing a sharp, critical Fermi surface in two spatial dimensions. The …

We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of
dissipative many-body quantum chaos. It describes N strongly coupled Majorana fermions …

We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK
model is coupled to Markovian reservoirs with jump operators that are either linear or …

We show that a random interacting model exhibits solvable non-Fermi-liquid behavior and
exotic pairing behavior. This model, dubbed as the Yukawa-SYK model, describes the …

A bstract We show that the free energy at low temperatures for near-extremal black holes is
correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to …

A bstract We study the real time formation of the ground state of two coupled SYK models.
This is a highly entangled state which is close to the thermofield double state and can be …

A bstract By means of ϵ and large N expansions, we study generalizations of the O (N)
model where the fundamental fields are tensors of rank r rather than vectors, and where the …

We study a two-site Sachdev-Ye-Kitaev (SYK) model with complex couplings, and identify a
low temperature transition to a gapped phase characterized by a constant in temperature …