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Title: Bi-local holography in the SYK model

Abstract

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. Lastly, 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.

Authors:
 [1];  [1];  [1]
  1. Brown Univ., Providence, RI (United States)
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1326944
Grant/Contract Number:
SC0010010
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; AdS-CFT Correspondence; Gauge-gravity correspondence; 2D Gravity

Citation Formats

Jevicki, Antal, Suzuki, Kenta, and Yoon, Junggi. Bi-local holography in the SYK model. United States: N. p., 2016. Web. doi:10.1007/JHEP07(2016)007.
Jevicki, Antal, Suzuki, Kenta, & Yoon, Junggi. Bi-local holography in the SYK model. United States. doi:10.1007/JHEP07(2016)007.
Jevicki, Antal, Suzuki, Kenta, and Yoon, Junggi. 2016. "Bi-local holography in the SYK model". United States. doi:10.1007/JHEP07(2016)007. https://www.osti.gov/servlets/purl/1326944.
@article{osti_1326944,
title = {Bi-local holography in the SYK model},
author = {Jevicki, Antal and Suzuki, Kenta and Yoon, Junggi},
abstractNote = {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. Lastly, 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.},
doi = {10.1007/JHEP07(2016)007},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2016,
place = {United States},
year = 2016,
month = 7
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 18works
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  • 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. As a result, these are based on an ε expansion which allows for analytical evaluation of correlators and finite temperature quantities.
  • We demonstrate that neutron holography permits us to extend the determination of atomic positions beyond nearest neighbors at least up to the fourth neighboring shell around cadmium probe atoms alloyed into a lead crystal. The accuracy achieved is sufficient to allow quantitative determination of displacements of atoms due to elastic distortions induced by impurity atoms. The atomic positions derived from the holographic data are in good agreement with those expected theoretically due to Friedel oscillations in this system. In addition, the atomic positions are in qualitative agreement with results obtained in an independent experiment studying the diffuse distortion scattering aroundmore » Bragg peaks.« less
  • We study baryons as Skyrmions in holographic QCD with D4/D8/D8 multi-D brane system in type IIA superstring theory, and also in the nonlinear sigma model with hidden local symmetry. Comparing these two models, we find that the extra dimension and its nontrivial curvature can largely change the role of (axial) vector mesons for baryons in four-dimensional space-time. In the hidden local symmetry approach, the {rho}-meson field as a massive Yang-Mills field has a singular configuration in Skyrmion, which gives a strong repulsion for the baryon as a stabilizer. When the a{sub 1} meson is added in this approach, the stabilitymore » of Skyrmion is lost by the cancellation of {rho} and a{sub 1} contributions. On the contrary, in holographic QCD, the {rho}-meson field does not appear as a massive Yang-Mills field due to the extra dimension and its nontrivial curvature. We show that the {rho}-meson field has a regular configuration in Skyrmion, which gives a weak attraction for the baryon in holographic QCD. We argue that Skyrmion with {pi}, {rho}, and a{sub 1} mesons become stable due to the curved extra dimension and also the presence of the Skyrme term in holographic QCD. From this result, we also discuss the features of our truncated-resonance analysis on baryon properties with {pi} and {rho} mesons below the cutoff scale M{sub KK}{approx}1 GeV in holographic QCD, which is compared with other 5D instanton analysis.« less
  • A unique and important property of the neutron is that it possesses magnetic moment. This property is widely used for determination of magnetic structure of crystalline samples observing the magnetic components of the diffraction peaks. Investigations of diffraction patterns give information only about the averaged structure of a crystal but for discovering of local spin arrangement around a specific (e.g., impurity) nucleus remains still a challenging problem. Neutron holography is a useful tool to investigate the local structure around a specific nucleus embedded in a crystal lattice. The method has been successfully applied experimentally in several cases using non-magnetic shortmore » range interaction of the neutron and the nucleus. A mathematical model of the hologram using interaction between magnetic moment of the atom and the neutron spin for polarized neutron holography is provided. Validity of a polarized neutron holographic experiment is demonstrated by applying the proposed method on model systems.« less
  • We investigate a deformed matrix model of type 0A theory related to supersymmetric Witten's black hole in two-dimensions, a generalization of bosonic model suggested by Kazakov et al. We find a free field realization of the partition function of the matrix model, which includes Ramond-Ramond perturbations in the type 0A theory. In a simple case, the partition function is factorized into two determinants, which are given by {tau} function of an integrable system. We work out the genus expansion of the partition function. Holographic relation with the supersymmetric Witten's black hole is checked by Wilson line computation. The corresponding partitionmore » function of the matrix model exhibits a singular behavior, which is interpreted as the point of enhanced N=2 world sheet supersymmetry. An interesting relation between the deformed matrix model and topological string on a Z{sub 2} orbifold of conifold is found.« less