TASI Lectures on Large Tensor Models

IR Klebanov, F Popov, G Tarnopolsky - ar** subject of tensor models for the NAdS $ _2 $/NCFT $ _1 $
holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) …

Notes on tensor models and tensor field theories

RG Gurau - Ann. Inst. H. Poincare D Comb. Phys. Interact., 2022 - content.ems.press
Tensor models and tensor field theories admit a 1= N expansion and a melonic large N limit
which is simpler than the planar limit of random matrices and richer than the large N limit of …

Phases of melonic quantum mechanics

F Ferrari, FI Schaposnik Massolo - Physical Review D, 2019 - APS
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 …

Line of fixed points in a bosonic tensor model

D Benedetti, R Gurau, S Harribey - Journal of High Energy Physics, 2019 - Springer
A bstract We consider the O (N) 3 tensor model of Klebanov and Tarnopolsky [1] in d< 4 with
a free covariance modified to fit the infrared conformal scaling. We study the renormalization …

Spectra of eigenstates in fermionic tensor quantum mechanics

IR Klebanov, A Milekhin, F Popov, G Tarnopolsky - Physical Review D, 2018 - APS
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 …

The Thouless time for mass-deformed SYK

T Nosaka, D Rosa, J Yoon - Journal of High Energy Physics, 2018 - Springer
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 …