In this article we explore the holographic duals of tensor models using collective field theory.
We develop a description of the gauge invariant variables of the tensor model. This is then …

A bstract In this work we study spontaneous symmetry breaking patterns in tensor models.
We focus on the patterns which lead to effective matrix theories transforming in the adjoint of …

A bstract Generalizing matrix models, tensor models generate dynamical triangulations in
any dimension and support a 1/N expansion. Using the intermediate field representation we …

A bstract Motivated by the close connection of tensor models to the SYK model, we use
representation theory to construct the complete set of gauge invariant observables for …

We review the fast developing subject of tensor models for the NAdS $ _2 $/NCFT $ _1 $
holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) …

A bstract A class of tensor models were recently outlined as potentially calculable examples
of holography: their perturbative large-N behavior is similar to the Sachdev-Ye-Kitaev (SYK) …

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 …

The cut and join operations play important roles in tensor models in general. We introduce a
generalization of the cut operation associated with the higher order variations and …

A bstract We further explore the connection between holographic O (n) tensor models and
random matrices. First, we consider the simplest non-trivial uncolored tensor model and …

A bstract In this note, we study a melonic tensor model in d dimensions based on three-
index Dirac fermions with a four-fermion interaction. Summing the melonic diagrams at …