Abelian Tensor Models on the Lattice

Abstract

We consider a chain of Abelian Klebanov-Tarnopolsky fermionic tensor models coupled through quartic nearest-neighbor interactions. We characterize the gauge-singlet spectrum for small chains ($L=2,3,4,5$) and observe that the spectral statistics exhibits strong evidences in favor of quasi-many body localization.

v3: 43 pages + appendices, 19 figures, minor changes, references updated, version matches with published version