Bi-local holography in the SYK model

By A. Jevicki, Kenta Suzuki, Junggi Yoon. Journal of High Energy Physics, 2016

286 citations recorded by the source corpus.

We discuss large N rules of the Sachdev-Ye-Kitaev model and the bi-local representation of holography of this theory. This is done by establishing 1/N Feynman rules in terms of bi-local propagators and vertices, which can be evaluated following the recent procedure of Polchinski and Rosenhaus. These rules can be interpreted as Witten type diagrams of the dual AdS theory, which we are able to define at IR fixed point and off.

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

View Paper: https://www.semanticscholar.org/paper/8da6e8e2afd7c242fddab8b9f6d553f40dee1df7

How researchers see this paper

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

In Mathematical Physics

1. H. Verlinde
2. S. Sachdev
3. S. Hartnoll
4. D. Stanford
5. J. Maldacena
6. G. Turiaci
7. Alexei Y. Kitaev
8. Tom Mertens

In Nuclear and High Energy Physics

1. D. Stanford
2. Alexei Y. Kitaev
3. Tom Mertens
4. S. J. Suh
5. J. Maldacena
6. G. Turiaci
7. Zhenbin Yang
8. S. Sachdev

In Statistical and Nonlinear Physics

1. D. Stanford
2. Tom Mertens
3. G. Turiaci
4. S. Sachdev
5. Zhenbin Yang
6. Phil Saad
7. Alexei Y. Kitaev
8. S. J. Suh

Citations in the corpus

• Holographic Quantum Matter (2016, background): “Furthermore, it can be shown that not just the saddle-point equations, but also the entire action functional for the bilocal Green’s function [281; 424; 625; 642] is invariant under (608) at low energies.”
• The complete 1/N expansion of a SYK–like tensor model (2016, methodology): “1 Introduction A tensor model version [1] of the SYK model [3, 4] (see [5, 6, 7] for recent developments) has been recently proposed by Witten.”
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual (2017, background): “Hence, a0 = 1/2 for q = 2; such linear fitting is implicit in Appendix C of [24].”
• Towards a 2d QFT analog of the SYK model (2017, background): “The link with the gravity dual finds support in the fact that both sides give rise to an effective 1D Goldstone mode whose action is described by the Schwarzian derivative [1, 4, 9, 10, 11, 12, 13, 14].”
• Remarks on the Sachdev-Ye-Kitaev model (2016, background): “Recently, this was further explored in [18].”
• 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”
• Solving the Schwarzian via the conformal bootstrap (2017, background): “The SYK model is a soluble many body quantum system with a well-controlled large N limit that exhibits maximal chaos and other characteristics that indicate it has a holographic dual given by a 2D gravity theory on AdS2 [2, 6, 7, 8, 9, 10, 11].”
• An investigation of AdS2 backreaction and holography (2016, background): “The same type of action was found to describe the dynamics of the dynamical time variable in the Sachdev-Ye-Kitaev (SYK) model [13][14][15][16][17][18].”
• Bi-local holography in the SYK model: perturbations (2016, unknown): “This is followed by the matter fluctuations given by the zero mode projected propagator of I [15].”
• Three dimensional view of the SYK/AdS duality (2017, unknown): “Fluctuations around the critical IR background can be studied by expanding the bi-local field as [10]”