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 …

We study quantum mechanical models in which the dynamical degrees of freedom are real
fermionic tensors of rank 5 and higher. They are the nonrandom counterparts of the Sachdev …

We study a 2-dimensional SYK-like model with N=(0, 2) supersymmetry. The model
describes N chiral supermultiplets and M Fermi supermultiplets with a (q+ 1)-field …

We study tensor models based on O (N) r symmetry groups constructed out of rank-r tensors
with order-q interaction vertices. We refer to those tensor models for which r< q-1 as …

Gauged tensor models are a class of strongly coupled quantum mechanical theories. We
present the exact analytic solution of a specific example of such a theory: namely, the …

Resonant systems emerge as weakly nonlinear approximations to problems with highly
resonant linearized perturbations. Examples include nonlinear Schrödinger equations in …

A bstract We present a systematic procedure to extract the dynamics of the low energy soft
mode in SYK type models with a single energy scale J and emergent reparametrization …

A bstract We study a 2-dimensional SYK-like model with\(\mathcal {N}=\left (0,\2\right)\)
supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets …

We consider gauge theories of non-Abelian finite groups, and discuss the 1+ 1 dimensional
lattice gauge theory of the permutation group SN as an illustrative example. The partition …

A lattice model for strongly interacting electrons motivated by a rank-3 tensor model provides
a tool for understanding the pairing mechanism of high-temperature superconductivity. This …