A bstract The SYK model, a quantum mechanical model of N≫ 1 Majorana fermions χ i, with
a q-body, random interaction, is a novel realization of holography. It is known that the AdS 2 …

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) …

A bstract In this paper, we investigate the effect of supersymmetry on the symmetry
classification of random matrix theory ensembles. We mainly consider the random matrix …

We consider a class of matrix integrals over the unitary group $ U (N) $ with an infinite set of
couplings characterized by a series $ f (q)=\sum_ {n\ge 1} a_n q^ n $, with $ a_n\in\mathbb …

We describe a two-dimensional geometry that smoothly interpolates between an
asymptotically AdS 2 geometry and the static patch of dS 2. We find this' centaur'geometry to …

A bstract We study the genus expansion on compact Riemann surfaces of the gravitational
path integral\({\mathcal {Z}} _ {\mathrm {grav}}^{(m)}\) in two spacetime dimensions with …

In these notes we explore a variety of models comprising a large number of constituents. An
emphasis is placed on integrals over large Hermitian matrices, as well as quantum …

We study the O (N 1)× O (N 2)× O (N 3) symmetric quantum mechanics of 3-index Majorana
fermions. When the ranks N i are all equal, this model has a large N limit which is dominated …

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 explore the conjectured duality between a class of large N matrix integrals,
known as multicritical matrix integrals (MMI), and the series (2m− 1, 2) of non-unitary …