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Title: Sachdev–Ye–Kitaev model as Liouville quantum mechanics

Abstract

Here, we show that the proper inclusion of soft reparameterization modes in the Sachdev–Ye–Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics.

Authors:
; ;
Publication Date:
Research Org.:
Univ. zu Koln, Koln (Germany)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1287750
Alternate Identifier(s):
OSTI ID: 1361409
Grant/Contract Number:  
FG02-08ER46482
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Name: Nuclear Physics. B Journal Volume: 911 Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bagrets, Dmitry, Altland, Alexander, and Kamenev, Alex. Sachdev–Ye–Kitaev model as Liouville quantum mechanics. Netherlands: N. p., 2016. Web. doi:10.1016/j.nuclphysb.2016.08.002.
Bagrets, Dmitry, Altland, Alexander, & Kamenev, Alex. Sachdev–Ye–Kitaev model as Liouville quantum mechanics. Netherlands. https://doi.org/10.1016/j.nuclphysb.2016.08.002
Bagrets, Dmitry, Altland, Alexander, and Kamenev, Alex. Sat . "Sachdev–Ye–Kitaev model as Liouville quantum mechanics". Netherlands. https://doi.org/10.1016/j.nuclphysb.2016.08.002.
@article{osti_1287750,
title = {Sachdev–Ye–Kitaev model as Liouville quantum mechanics},
author = {Bagrets, Dmitry and Altland, Alexander and Kamenev, Alex},
abstractNote = {Here, we show that the proper inclusion of soft reparameterization modes in the Sachdev–Ye–Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics.},
doi = {10.1016/j.nuclphysb.2016.08.002},
url = {https://www.osti.gov/biblio/1287750}, journal = {Nuclear Physics. B},
issn = {0550-3213},
number = C,
volume = 911,
place = {Netherlands},
year = {2016},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1016/j.nuclphysb.2016.08.002

Citation Metrics:
Cited by: 30 works
Citation information provided by
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Works referencing / citing this record:

Scrambling the spectral form factor: Unitarity constraints and exact results
journal, June 2017


A generalization of Sachdev-Ye-Kitaev
journal, February 2017


Exact moments of the Sachdev-Ye-Kitaev model up to order 1/N2
journal, April 2018


A supersymmetric SYK-like tensor model
journal, May 2017


The bulk dual of SYK: cubic couplings
journal, May 2017


Black holes and random matrices
journal, May 2017


Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
journal, May 2017


Vector models and generalized SYK models
journal, May 2017


The Schwarzian theory — origins
journal, May 2018


Towards a bulk description of higher spin SYK
journal, May 2018


The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
journal, May 2018


Chaos and random matrices in supersymmetric SYK
journal, May 2018


Statistical mechanics of a two-dimensional black hole
journal, May 2019


Supersymmetric SYK model and random matrix theory
journal, June 2017


Tunable quantum chaos in the Sachdev-Ye-Kitaev model coupled to a thermal bath
journal, July 2017


Onset of random matrix behavior in scrambling systems
journal, July 2018


Solving the Schwarzian via the conformal bootstrap
journal, August 2017


Supersymmetric SYK model with global symmetry
journal, August 2018


Symmetries near the horizon
journal, August 2019


Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block
journal, August 2019


Defects in Jackiw-Teitelboim quantum gravity
journal, August 2019


Complete random matrix classification of SYK models with N $$ \mathcal{N} $$ = 0, 1 and 2 supersymmetry
journal, September 2017


On the replica structure of Sachdev-Ye-Kitaev model
journal, September 2019


Clocks and rods in Jackiw-Teitelboim quantum gravity
journal, September 2019


Fermionic localization of the schwarzian theory
journal, October 2017


Menagerie of AdS2 boundary conditions
journal, October 2017


Eigenstate thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
journal, October 2019


Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
journal, November 2017


Eigenstate thermalization in the Sachdev-Ye-Kitaev model
journal, November 2017


Large N expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs
journal, November 2018


Jackiw-Teitelboim gravity and rotating black holes
journal, November 2019


An introduction to the SYK model
journal, July 2019


An SYK-like model without disorder
journal, October 2019


Universal level statistics of the out-of-time-ordered operator
journal, July 2019


Cooper pairing of incoherent electrons: An electron-phonon version of the Sachdev-Ye-Kitaev model
journal, September 2019


Chaos in a classical limit of the Sachdev-Ye-Kitaev model
journal, October 2019


Hamiltonian dynamics of a sum of interacting random matrices
journal, November 2019


Evaporation dynamics of the Sachdev-Ye-Kitaev model
journal, December 2019


Solvable model for a dynamical quantum phase transition from fast to slow scrambling
journal, April 2017


Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
journal, April 2017


Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos
journal, November 2017


Scrambling and entanglement spreading in long-range spin chains
journal, October 2018


Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
journal, January 2019


Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
journal, May 2019


Quantum chaos transition in a two-site Sachdev-Ye-Kitaev model dual to an eternal traversable wormhole
journal, July 2019


Conformality of 1 / N corrections in Sachdev-Ye-Kitaev-like models
journal, December 2019


Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
journal, December 2016


Supersymmetric Sachdev-Ye-Kitaev models
journal, January 2017


Analytical spectral density of the Sachdev-Ye-Kitaev model at finite N
journal, September 2017


Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
journal, November 2017


Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
journal, June 2018


Sachdev-Ye-Kitaev Non-Fermi-Liquid Correlations in Nanoscopic Quantum Transport
journal, November 2019


Unusual view of the Schwarzian theory
journal, December 2018


Conformal bootstrap in dS/CFT and topological quantum gravity
journal, December 2019


Thickening and sickening the SYK model
journal, January 2018