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 …

We define and calculate versions of complexity for free fermionic quantum field theories in
1+ 1 and 3+ 1 dimensions, adopting Nielsen's geodesic perspective in the space of circuits …

These are lecture notes based on a series of lectures presented at the XIII Modave Summer
School in Mathematical physics aimed at PhD students and young postdocs. The goal is to …

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) …

Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, N
Majorana fermions in 0+ 1 dimensions with infinite-range two-body interactions, which is …

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 show that the free energy at low temperatures for near-extremal black holes is
correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to …

A bstract It has recently been demonstrated that the large N limit of a model of fermions
charged under the global/gauge symmetry group O (N) q− 1 agrees with the large N limit of …

A bstract We discuss conditions under which a deterministic sequence of real numbers,
interpreted as the set of eigenvalues of a Hamiltonian, can exhibit features usually …

A bstract We present a complete symmetry classification of the Sachdev-Ye-Kitaev (SYK)
model with\(\mathcal {N}\)= 0, 1 and 2 supersymmetry (SUSY) on the basis of the Altland …