Towards a 2d QFT analog of the SYK model

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Abstract

We propose a 2D QFT generalization of the Sachdev-Ye-Kitaev model, which we argue preserves most of its features. The UV limit of the model is described by N copies of a topological Ising CFT. The full interacting model exhibits conformal symmetry in the IR and an emergent pseudo-Goldstone mode that arises from broken reparametrization symmetry. We find that the effective action of the Goldstone mode matches with the 3D AdS gravity action, viewed as a functional of the boundary metric. We compute the spectral density and show that the leading deviation from conformal invariance looks like a TT¯ deformation. We comment on the relation between the IR effective action and Liouville CFT.

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Turiaci, G. J., & Verlinde, H. (2017). Towards a 2d QFT analog of the SYK model. Journal of High Energy Physics, 2017(10). https://doi.org/10.1007/JHEP10(2017)167

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