An SYK-like model without disorder

By E. Witten. Journal of Physics A: Mathematical and Theoretical, 2016

378 citations recorded by the source corpus.

Making use of known facts about ‘tensor models’, it is possible to construct a quantum system without quenched disorder that has the same large n limit for its correlation functions and thermodynamics as the SYK model. This might be useful in further probes of this approach to holographic duality.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/29836c77250fc1095ef85a87775fed0b786ba207

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. Zhenbin Yang
2. D. Stanford
3. E. Witten
4. Phil Saad
5. G. Turiaci
6. Alexei Y. Kitaev
7. S. J. Suh
8. V. Rosenhaus

In Nuclear and High Energy Physics

1. V. Rosenhaus
2. Zhenbin Yang
3. D. Stanford
4. G. Turiaci
5. E. Witten
6. Alexei Y. Kitaev
7. Tom Mertens
8. Phil Saad

Citations in the corpus

• Towards a 2d QFT analog of the SYK model (2017, background): “Recently, Witten found an adaptation of a class of so-called tensor models that give rise to the same large N diagrammatical rules as the SYK model [18][19].”
• Quantum chaos and holographic tensor models (2016, background): “One can in fact check explicitly that our Hamiltonian actually satisfies A = AT .”
• An introduction to the SYK model (2018, methodology): “of the Gurau-Witten model [19, 20] (see also [21–24]), with the Lagrangian,”
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual (2017, background): “ the thermodynamics is more conveniently described using the density of states [25]: e F = Z= Z ˆ(E)e EdE; ˆ(E) /es 0Nsinh 2ˇ p 2N S(E E 0)=J : (19) Variants of the SYK model have been studied in [29,30,31,32,33,34,35]. 1.1 Outline of the paper Let J˛1 and let us consider all quantities in the N!1”
• 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.”
• Fermionic localization of the schwarzian theory (2017, background): “One expects this theory to be relevant at low-energies for generalizations of SYK with global symmetry [28, 29, 30, 31].”
• Circuit complexity in fermionic field theory (2018, background): “In particular, one possible case where a strongly coupled gauge theory could be solvable is in the context of the so-called SYK-like tensor models [13].”
• Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models (2017, background): “disorder, and does not correspond to a unitary quantum mechanics. A different version without the random disorder, but with the same leading large N behaviour, has been proposed by Gurau [6,9], Witten [7], and Klebanov and Tarnopolsky [8]. Here we are interested only in the large Nbehaviour and will ”
• Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models (2016, methodology): “The action of this model is SGurau−Witten = ∫ dt ( i 2 ψabcA ∂tψ abc A + gψ abc 0 ψ ade 1 ψ fbe 2 ψ fdc 3 ) , (1.2) 1The N3 scaling of the degrees of freedom is also found for 6-dimensional CFTs on N coincident M5branes [14, 15].”
• All point correlation functions in SYK (2017, background): “If we look at the four-point function, and apply the OPE to O1O2 and to O3O4 then we schematically get, for the 1/N piece, 〈O1 · · · O4〉 ∼ 1 N ( c12hc34h〈OhOh〉+d012[12]nd 1 34[12]n 〈[O1O2]n[O1O2]n〉+d034[34]nd 1 12[34]n 〈[O3O4]n[O3O4]n〉 ) .”
• The quantum gravity dynamics of near extremal black holes (2018, methodology): “les in early universe, our story might play a role and it will be interesting to study the physical consequence in that situation. Another application of our result is to connect with SYK type models [31, 32, 33, 34] since those models all have an emergent Schwarzian action at low energy. On that ac”
• The bulk dual of SYK: cubic couplings (2017, result): “A better way of eliminating disorder is to turn SYK into a tensor model [17] (see also, [18, 19]), analogous to the ones previously studied [20].”
• 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].”