A supersymmetric SYK-like tensor model

Peng, Cheng; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/JHEP05(2017)062

A supersymmetric SYK-like tensor model

Journal Article · Thu May 11 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2017)062· OSTI ID:1393560

Peng, Cheng ^[1]; Spradlin, Marcus ^[2]; Volovich, Anastasia ^[2]

Brown Univ., Providence, RI (United States). Dept. of Physics; Department of PhysicsBrown UniversityProvidenceU.S.A.
Brown Univ., Providence, RI (United States). Dept. of Physics

We consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic Ν = 1 tensor-valued superfields, ''quarks'' and ''mesons''. We prove that the model has a well-defined large-N limit in which the (s)quark 2-point functions are dominated by mesonic ''melon'' diagrams. We sum these diagrams to obtain the Schwinger-Dyson equations and show that in the IR, the solution agrees with that of the supersymmetric SYK model.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010010

OSTI ID:: 1393560

Alternate ID(s):: OSTI ID: 22694321

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (50)

Higher dimensional generalizations of the SYK model Berkooz, Micha; Narayan, Prithvi; Rozali, Moshe Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)138	journal	January 2017
A generalization of Sachdev-Ye-Kitaev Gross, David J.; Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)093	journal	February 2017
Black holes and the butterfly effect Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)067	journal	March 2014
The spectrum in the Sachdev-Ye-Kitaev model Polchinski, Joseph; Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)001	journal	April 2016
Stringy effects in scrambling Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)132	journal	May 2015
Bi-local holography in the SYK model Jevicki, Antal; Suzuki, Kenta; Yoon, Junggi Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)007	journal	July 2016
An investigation of AdS2 backreaction and holography Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)139	journal	July 2016
A bound on chaos Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)106	journal	August 2016
Models of AdS2 backreaction and holography Almheiri, Ahmed; Polchinski, Joseph Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)014	journal	November 2015
Bi-local holography in the SYK model: perturbations Jevicki, Antal; Suzuki, Kenta Journal of High Energy Physics, Vol. 2016, Issue 11 https://doi.org/10.1007/JHEP11(2016)046	journal	November 2016
Disordered quivers and cold horizons Anninos, Dionysios; Anous, Tarek; Denef, Frederik Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)071	journal	December 2016
The 1/N Expansion of Colored Tensor Models Gurau, Razvan Annales Henri Poincaré, Vol. 12, Issue 5 https://doi.org/10.1007/s00023-011-0101-8	journal	March 2011
The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension Gurau, Razvan Annales Henri Poincaré, Vol. 13, Issue 3 https://doi.org/10.1007/s00023-011-0118-z	journal	July 2011
Colored Group Field Theory Gurau, Razvan Communications in Mathematical Physics, Vol. 304, Issue 1 https://doi.org/10.1007/s00220-011-1226-9	journal	March 2011
O(N) Random Tensor Models Carrozza, Sylvain; Tanasa, Adrian Letters in Mathematical Physics, Vol. 106, Issue 11 https://doi.org/10.1007/s11005-016-0879-x	journal	August 2016
Aspects of AdS2 Holography with Non-Constant Dilaton Grumiller, D.; Salzer, J.; Vassilevich, D. Russian Physics Journal, Vol. 59, Issue 11 https://doi.org/10.1007/s11182-017-0978-x	journal	March 2017
Critical behavior of colored tensor models in the large N limit Bonzom, Valentin; Gurau, Razvan; Riello, Aldo Nuclear Physics B, Vol. 853, Issue 1 https://doi.org/10.1016/j.nuclphysb.2011.07.022	journal	December 2011
The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders Gurau, Razvan Nuclear Physics B, Vol. 865, Issue 1 https://doi.org/10.1016/j.nuclphysb.2012.07.028	journal	December 2012
Sachdev–Ye–Kitaev model as Liouville quantum mechanics Bagrets, Dmitry; Altland, Alexander; Kamenev, Alex Nuclear Physics B, Vol. 911 https://doi.org/10.1016/j.nuclphysb.2016.08.002	journal	October 2016
The complete 1/N expansion of a SYK–like tensor model Gurau, Razvan Nuclear Physics B, Vol. 916 https://doi.org/10.1016/j.nuclphysb.2017.01.015	journal	March 2017
AdS ₂ quantum gravity and string theory Strominger, Andrew Journal of High Energy Physics, Vol. 1999, Issue 01 https://doi.org/10.1088/1126-6708/1999/01/007	journal	January 1999
Anti-de Sitter fragmentation Maldacena, Juan; Michelson, Jeremy; Strominger, Andrew Journal of High Energy Physics, Vol. 1999, Issue 02 https://doi.org/10.1088/1126-6708/1999/02/011	journal	February 1999
Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12 https://doi.org/10.1093/ptep/ptw124	journal	November 2016
Non-Fermi-liquid regime of a doped Mott insulator Parcollet, Olivier; Georges, Antoine Physical Review B, Vol. 59, Issue 8 https://doi.org/10.1103/PhysRevB.59.5341	journal	February 1999
Numerical study of fermion and boson models with infinite-range random interactions Fu, Wenbo; Sachdev, Subir Physical Review B, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevB.94.035135	journal	July 2016
Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states You, Yi-Zhuang; Ludwig, Andreas W. W.; Xu, Cenke Physical Review B, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevB.95.115150	journal	March 2017
Solvable model for a dynamical quantum phase transition from fast to slow scrambling Banerjee, Sumilan; Altman, Ehud Physical Review B, Vol. 95, Issue 13 https://doi.org/10.1103/PhysRevB.95.134302	journal	April 2017
Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography Davison, Richard A.; Fu, Wenbo; Georges, Antoine Physical Review B, Vol. 95, Issue 15 https://doi.org/10.1103/PhysRevB.95.155131	journal	April 2017
Charge Frustration and Quantum Criticality for Strongly Correlated Fermions Huijse, Liza; Halverson, James; Fendley, Paul Physical Review Letters, Vol. 101, Issue 14 https://doi.org/10.1103/PhysRevLett.101.146406	journal	October 2008
Holographic Metals and the Fractionalized Fermi Liquid Sachdev, Subir Physical Review Letters, Vol. 105, Issue 15 https://doi.org/10.1103/PhysRevLett.105.151602	journal	October 2010
Chaos in AdS 2 Holography Jensen, Kristan Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/PhysRevLett.117.111601	journal	September 2016
Gapless spin-fluid ground state in a random quantum Heisenberg magnet Sachdev, Subir; Ye, Jinwu Physical Review Letters, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevLett.70.3339	journal	May 1993
Mean Field Theory of a Quantum Heisenberg Spin Glass Georges, Antoine; Parcollet, Olivier; Sachdev, Subir Physical Review Letters, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevLett.85.840	journal	July 2000
Lattice Models with N = 2 Supersymmetry Fendley, Paul; Schoutens, Kareljan; de Boer, Jan Physical Review Letters, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevLett.90.120402	journal	March 2003
Bekenstein-Hawking Entropy and Strange Metals Sachdev, Subir Physical Review X, Vol. 5, Issue 4 https://doi.org/10.1103/PhysRevX.5.041025	journal	November 2015
The 1/N expansion of colored tensor models in arbitrary dimension Gurau, R.; Rivasseau, V. EPL (Europhysics Letters), Vol. 95, Issue 5 https://doi.org/10.1209/0295-5075/95/50004	journal	August 2011
The 1/N expansion of colored tensor models Gurau, Razvan arXiv https://doi.org/10.48550/arxiv.1011.2726	text	January 2010
The complete 1/N expansion of colored tensor models in arbitrary dimension Gurau, Razvan arXiv https://doi.org/10.48550/arxiv.1102.5759	text	January 2011
Critical behavior of colored tensor models in the large N limit Bonzom, Valentin; Gurau, Razvan; Riello, Aldo arXiv https://doi.org/10.48550/arxiv.1105.3122	text	January 2011
Stringy effects in scrambling Shenker, Stephen H.; Stanford, Douglas arXiv https://doi.org/10.48550/arxiv.1412.6087	preprint	January 2014
A bound on chaos Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas arXiv https://doi.org/10.48550/arxiv.1503.01409	text	January 2015
$O(N)$ Random Tensor Models Carrozza, Sylvain; Tanasa, Adrian arXiv https://doi.org/10.48550/arxiv.1512.06718	text	January 2015
The Spectrum in the Sachdev-Ye-Kitaev Model Polchinski, Joseph; Rosenhaus, Vladimir arXiv https://doi.org/10.48550/arxiv.1601.06768	text	January 2016
Bi-Local Holography in the SYK Model Jevicki, Antal; Suzuki, Kenta; Yoon, Junggi arXiv https://doi.org/10.48550/arxiv.1603.06246	text	January 2016
An Investigation of AdS$_2$ Backreaction and Holography Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman arXiv https://doi.org/10.48550/arxiv.1606.03438	text	January 2016
A Generalization of Sachdev-Ye-Kitaev Gross, David J.; Rosenhaus, Vladimir arXiv https://doi.org/10.48550/arxiv.1610.01569	text	January 2016
Solvable model for a dynamical quantum phase transition from fast to slow scrambling Banerjee, Sumilan; Altman, Ehud arXiv https://doi.org/10.48550/arxiv.1610.04619	text	January 2016
The complete $1/N$ expansion of a SYK--like tensor model Gurau, Razvan arXiv https://doi.org/10.48550/arxiv.1611.04032	text	January 2016
Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet Sachdev, Subir; Ye, Jinwu arXiv https://doi.org/10.48550/arxiv.cond-mat/9212030	text	January 1992
Anti-de Sitter Fragmentation Maldacena, Juan; Michelson, Jeremy; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.hep-th/9812073	text	January 1998

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Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions Benedetti, Dario; Delporte, Nicolas Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/jhep01(2019)218	journal	January 2019
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Exact moments of the Sachdev-Ye-Kitaev model up to order 1/N2 García-García, Antonio M.; Jia, Yiyang; Verbaarschot, Jacobus J. M. Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/jhep04(2018)146	journal	April 2018
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Towards a bulk description of higher spin SYK González, Hernán A.; Grumiller, Daniel; Salzer, Jakob Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/jhep05(2018)083	journal	May 2018
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Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath Chen, Yiming; Zhai, Hui; Zhang, Pengfei arXiv https://doi.org/10.48550/arxiv.1705.09818	text	January 2017
Eigenstate thermalization in the Sachdev-Ye-Kitaev model Sonner, Julian; Vielma, Manuel arXiv https://doi.org/10.48550/arxiv.1707.08013	text	January 2017
Notes on Melonic $O(N)^{q-1}$ Tensor Models Choudhury, Sayantan; Dey, Anshuman; Halder, Indranil arXiv https://doi.org/10.48550/arxiv.1707.09352	text	January 2017
Supersymmetric SYK Model with Global Symmetry Narayan, Prithvi; Yoon, Junggi arXiv https://doi.org/10.48550/arxiv.1712.02647	text	January 2017
Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$ García-García, Antonio M.; Jia, Yiyang; Verbaarschot, Jacobus J. M. arXiv https://doi.org/10.48550/arxiv.1801.02696	text	January 2018
Towards a bulk description of higher spin SYK González, Hernán A.; Grumiller, Daniel; Salzer, Jakob arXiv https://doi.org/10.48550/arxiv.1802.01562	text	January 2018
2PI effective action for the SYK model and tensor field theories Benedetti, Dario; Gurau, Razvan arXiv https://doi.org/10.48550/arxiv.1802.05500	text	January 2018
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