Abstract The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …

Many eigenvalue matrix models possess a peculiar basis of observables that have explicitly
calculable averages. This explicit calculability is a stronger feature than ordinary …

We study the operators in the large N tensor models, focusing mostly on the fermionic
quantum mechanics with O (N) 3 symmetry which may be either global or gauged. In the …

A bstract We consider the question of identifying the bulk space-time of the SYK model.
Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the …

A bstract In this paper, we study an SYK model and an SYK-like tensor model with global
symmetry. First, we study the large N expansion of the bi-local collective action for the SYK …

We explore in detail properties of two melonic quantum mechanical theories which can be
formulated either as fermionic matrix quantum mechanics in the new large D limit, or as …

A bstract We study the onset of RMT dynamics in the mass-deformed SYK model (ie an SYK
model deformed by a quadratic random interaction) in terms of the strength of the quadratic …

A bstract In [15] it was shown that the spectrum and bilocal propagator of SYK model with
four fermion interactions can be realized as a three dimensional model in AdS 2× S 1/Z 2 …

JHEP05(2018)156 Page 1 JHEP05(2018)156 Published for SISSA by Springer Received: March
9, 2018 Revised: April 23, 2018 Accepted: May 22, 2018 Published: May 24, 2018 2PI effective …

We study invariant operators in general tensor models. We show that representation theory
provides an efficient framework to count and classify invariants in tensor models of (gauge) …