Towards a 2d QFT analog of the SYK model

By G. Turiaci, H. Verlinde. 2017

144 citations recorded by the source corpus.

A bstractWe 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¯$$ T\overline{T} $$ deformation. We comment on the relation between the IR effective action and Liouville CFT.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3c0fb9fe339675b8226ab50ae33f861478bf16c6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Tom Mertens
2. G. Turiaci
3. V. Rosenhaus
4. H. Verlinde
5. A. Altland
6. Dmitry Bagrets
7. Alex Kamenev
8. D. Stanford

In Statistical and Nonlinear Physics

1. Tom Mertens
2. G. Turiaci
3. V. Rosenhaus
4. H. Verlinde
5. D. Stanford
6. Zhenbin Yang
7. A. Altland
8. Dmitry Bagrets

Citations in the corpus

• Solving the Schwarzian via the conformal bootstrap (2017, methodology): “Likewise, it would be interesting to understand whether the methods of this paper can be applied to the 2D Schwarzian theory proposed in [60].”
• The Schwarzian theory — origins (2018, background): “Sachdev-Ye-Kitaev (SYK) models of N Majorana fermions with random all-to-all interactions have received a host of attention in the past few years [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], mainly due to the appearance of maximally chaotic behavior [13, 14, 15, 16, 17], suggesting a 2d holographic dual”
• Power-law out of time order correlation functions in the SYK model (2017, background): “The potential realization of a holographic principle of lowest possible dimension has triggered a surge of research activity on the SYK model and its quantum dynamics [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20].”
• An introduction to the SYK model (2018, background): “Some other variations of SYK include perturbed SYK models [104], chiral models [105,106], models with non-standard kinetic terms [107], and p-adic models [108].”