Bi-local holography in the SYK model: perturbations

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

189 citations recorded by the source corpus.

We continue the study of the Sachdev-Ye-Kitaev model in the Large N limit. Following our formulation in terms of bi-local collective fields with dynamical reparametrization symmetry, we perform perturbative calculations around the conformal IR point. These are based on an ε expansion which allows for analytical evaluation of correlators and finite temperature quantities.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/660331dd8ee96ab6893f9e26676d32b9350a8c68

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Citations in the corpus

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”
Three dimensional view of the SYK/AdS duality (2017, unknown): “The above symmetry mode representing time reparametrization can be elevated to a dynamical variable introduced according to [74] through the Faddeev-Popov method, leading to a Schwarzian action for this variable [11] proposed by Kitaev, and established first at quadratic level in [9]:”
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].”
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].”
Eternal traversable wormhole (2018, methodology): “When the coupling is small, the low energy physics of the model is nearly conformal and its features can be described by the reparametrization mode described in [7, 8, 9, 10].”
The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual (2017, background): “The (βJ)−2 term (with the coefficient γ given in Table 1) was reported in [25, 26].”