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

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-$N$ 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.

arXiv comment12 pages, 6 figures v3; Z2-symmetry clarified v2; Modified title and figure fonts

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