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 …

This review article is devoted to the interplay between frustrated magnetism and quantum
critical phenomena, covering both theoretical concepts and ideas as well as recent …

A bstract The SYK model consists of N≫ 1 fermions in 0+ 1 dimensions with a random, all-to-
all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic …

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 compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of
fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian …

We examine models of fermions with infinite-range interactions that realize non-Fermi
liquids with a continuously variable U (1) charge density Q and a nonzero entropy density S …

We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev (SYK) model. These
are quantum mechanical models involving N Majorana fermions. The supercharge is given …

Certain models with rank-3 tensor degrees of freedom have been shown by Gurau and
collaborators to possess a novel large N limit, where g 2 N 3 is held fixed. In this limit the …

A bstract The SYK model: fermions with a q-body, Gaussian-random, all-to-all interaction, is
the first of a fascinating new class of solvable large N models. We generalize SYK to include …

A bstract We continue the study of the Sachdev-Ye-Kitaev model in the Large N limit.
Following our formulation in terms of bi-local collective fields with dynamical …