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Towards a 2d QFT analog of the SYK model

Author(s): Turiaci, Gustavo J.; Verlinde, Herman L.

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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 T (T) over bar deformation. We comment on the relation between the IR effective action and Liouville CFT.
Publication Date: 24-Oct-2017
Electronic Publication Date: 24-Oct-2017
Citation: Turiaci, Gustavo J, Verlinde, Herman. (2017). Towards a 2d QFT analog of the SYK model. JOURNAL OF HIGH ENERGY PHYSICS, doi:10.1007/JHEP10(2017)167
DOI: doi:10.1007/JHEP10(2017)167
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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