English

A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics

Strongly Correlated Electrons 2022-04-06 v3 High Energy Physics - Theory

Abstract

We study a bipartite version of the Sachdev-Ye-Kitaev (SYK) model. We show that the model remains solvable in the limit of large-NN in the same sense as the original model if the ratio of both flavors is kept finite. The scaling dimensions of the two species can be tuned continuously as a function of the ratio. We also investigate the finite-size spectral properties of the model. We show how the level statistics differs from the original SYK model and infer an additional exchange symmetry in the bipartite model.

Cite

@article{arxiv.2111.15215,
  title  = {A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics},
  author = {Mikael Fremling and Masudul Haque and Lars Fritz},
  journal= {arXiv preprint arXiv:2111.15215},
  year   = {2022}
}

Comments

12 pages, 6 figures v3; Z2-symmetry clarified v2; Modified title and figure fonts

R2 v1 2026-06-24T07:57:18.307Z