A supersymmetric SYK-like tensor model

Peng, Cheng; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/JHEP05(2017)062

Title: A supersymmetric SYK-like tensor model

Abstract

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.

Authors:

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

Brown Univ., Providence, RI (United States). Dept. of Physics

Publication Date:: Thu May 11 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1393560

Grant/Contract Number:: SC0010010

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; 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; Field Theories in Lower Dimensions; AdS-CFT Correspondence; Global Symmetries

Citation Formats


                    Peng, Cheng, Spradlin, Marcus, and Volovich, Anastasia. A supersymmetric SYK-like tensor model.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP05(2017)062.

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                    Peng, Cheng, Spradlin, Marcus, & Volovich, Anastasia. A supersymmetric SYK-like tensor model.  United States.  https://doi.org/10.1007/JHEP05(2017)062

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                    Peng, Cheng, Spradlin, Marcus, and Volovich, Anastasia. Thu .  
"A supersymmetric SYK-like tensor model".  United States.  https://doi.org/10.1007/JHEP05(2017)062.  https://www.osti.gov/servlets/purl/1393560.

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@article{osti_1393560,

  title        = {A supersymmetric SYK-like tensor model},

  author       = {Peng, Cheng and Spradlin, Marcus and Volovich, Anastasia},

  abstractNote = {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.},

  doi          = {10.1007/JHEP05(2017)062},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 5,

  volume       = 2017,

  place        = {United States},

  year         = {Thu May 11 00:00:00 EDT 2017},

  month        = {Thu May 11 00:00:00 EDT 2017}

}

Copy to clipboard

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Similar Records

Title: A supersymmetric SYK-like tensor model

Abstract

Citation Formats

The complete 1/N expansion of a SYK–like tensor model journal, March 2017

Sachdev–Ye–Kitaev model as Liouville quantum mechanics journal, October 2016

Colored Group Field Theory journal, March 2011

A bound on chaos journal, August 2016

O(N) Random Tensor Models journal, August 2016

AdS 2 quantum gravity and string theory journal, January 1999

Higher dimensional generalizations of the SYK model journal, January 2017

Charge Frustration and Quantum Criticality for Strongly Correlated Fermions journal, October 2008

Bi-local holography in the SYK model: perturbations journal, November 2016

Aspects of AdS2 Holography with Non-Constant Dilaton journal, March 2017

The spectrum in the Sachdev-Ye-Kitaev model journal, April 2016

The 1/N expansion of colored tensor models in arbitrary dimension journal, August 2011

Critical behavior of colored tensor models in the large N limit journal, December 2011

Black holes and the butterfly effect journal, March 2014

The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension journal, July 2011

Mean Field Theory of a Quantum Heisenberg Spin Glass journal, July 2000

Stringy effects in scrambling journal, May 2015

Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states journal, March 2017

Holographic Metals and the Fractionalized Fermi Liquid journal, October 2010

Lattice Models with N = 2 Supersymmetry journal, March 2003

Numerical study of fermion and boson models with infinite-range random interactions journal, July 2016

The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders journal, December 2012

Bi-local holography in the SYK model journal, July 2016

The 1/N Expansion of Colored Tensor Models journal, March 2011

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space journal, November 2016

Non-Fermi-liquid regime of a doped Mott insulator journal, February 1999

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

Anti-de Sitter fragmentation journal, February 1999

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

The 1/N expansion of colored tensor models text, January 2010

The complete 1/N expansion of colored tensor models in arbitrary dimension text, January 2011

Critical behavior of colored tensor models in the large N limit text, January 2011

Stringy effects in scrambling preprint, January 2014

A bound on chaos text, January 2015

$O(N)$ Random Tensor Models text, January 2015

The Spectrum in the Sachdev-Ye-Kitaev Model text, January 2016

Bi-Local Holography in the SYK Model text, January 2016

An Investigation of AdS$_2$ Backreaction and Holography text, January 2016

A Generalization of Sachdev-Ye-Kitaev text, January 2016

Solvable model for a dynamical quantum phase transition from fast to slow scrambling text, January 2016

The complete $1/N$ expansion of a SYK--like tensor model text, January 2016

Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet text, January 1992

Anti-de Sitter Fragmentation text, January 1998

Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions journal, January 2019

Hints of unitarity at large N in the O(N )3 tensor field theory journal, February 2020

Line of fixed points in a bosonic tensor model journal, June 2019

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

Menagerie of AdS2 boundary conditions journal, October 2017

On melonic supertensor models journal, October 2018

The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three journal, August 2019

An introduction to the SYK model journal, July 2019

Family of Sachdev-Ye-Kitaev models motivated by experimental considerations journal, June 2018

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

Supersymmetric tensor model at large N and small ε journal, January 2020

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

Tensorial Gross-Neveu models text, January 2018

Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N text, January 2017

Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization text, January 2017

Three Dimensional View of the SYK/AdS Duality text, January 2017

Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath text, January 2017

Eigenstate thermalization in the Sachdev-Ye-Kitaev model text, January 2017

Notes on Melonic $O(N)^{q-1}$ Tensor Models text, January 2017

Supersymmetric SYK Model with Global Symmetry text, January 2017

Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$ text, January 2018

Towards a bulk description of higher spin SYK text, January 2018

2PI effective action for the SYK model and tensor field theories text, January 2018

On Melonic Supertensor Models text, January 2018

Hints of unitarity at large $N$ in the $O(N)^3$ tensor field theory text, January 2019

The complete 1/N expansion of a SYK–like tensor model
journal, March 2017

Sachdev–Ye–Kitaev model as Liouville quantum mechanics
journal, October 2016

Colored Group Field Theory
journal, March 2011

A bound on chaos
journal, August 2016

O(N) Random Tensor Models
journal, August 2016

AdS ₂ quantum gravity and string theory
journal, January 1999

Higher dimensional generalizations of the SYK model
journal, January 2017

Charge Frustration and Quantum Criticality for Strongly Correlated Fermions
journal, October 2008

Bi-local holography in the SYK model: perturbations
journal, November 2016

Aspects of AdS2 Holography with Non-Constant Dilaton
journal, March 2017

The spectrum in the Sachdev-Ye-Kitaev model
journal, April 2016

The 1/N expansion of colored tensor models in arbitrary dimension
journal, August 2011

Critical behavior of colored tensor models in the large N limit
journal, December 2011

Black holes and the butterfly effect
journal, March 2014

The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension
journal, July 2011

Mean Field Theory of a Quantum Heisenberg Spin Glass
journal, July 2000

Stringy effects in scrambling
journal, May 2015

Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
journal, March 2017

Holographic Metals and the Fractionalized Fermi Liquid
journal, October 2010

Lattice Models with $N = 2$ Supersymmetry
journal, March 2003

Numerical study of fermion and boson models with infinite-range random interactions
journal, July 2016

The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders
journal, December 2012

Bi-local holography in the SYK model
journal, July 2016

The 1/N Expansion of Colored Tensor Models
journal, March 2011

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
journal, November 2016

Non-Fermi-liquid regime of a doped Mott insulator
journal, February 1999

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

Anti-de Sitter fragmentation
journal, February 1999

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

The 1/N expansion of colored tensor models
text, January 2010

The complete 1/N expansion of colored tensor models in arbitrary dimension
text, January 2011

Critical behavior of colored tensor models in the large N limit
text, January 2011

Stringy effects in scrambling
preprint, January 2014

A bound on chaos
text, January 2015

$O(N)$ Random Tensor Models
text, January 2015

The Spectrum in the Sachdev-Ye-Kitaev Model
text, January 2016

Bi-Local Holography in the SYK Model
text, January 2016

An Investigation of AdS$_2$ Backreaction and Holography
text, January 2016

A Generalization of Sachdev-Ye-Kitaev
text, January 2016

Solvable model for a dynamical quantum phase transition from fast to slow scrambling
text, January 2016

The complete $1/N$ expansion of a SYK--like tensor model
text, January 2016

Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
text, January 1992

Anti-de Sitter Fragmentation
text, January 1998

Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions
journal, January 2019

Hints of unitarity at large N in the O(N )3 tensor field theory
journal, February 2020

Line of fixed points in a bosonic tensor model
journal, June 2019

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

Menagerie of AdS2 boundary conditions
journal, October 2017

On melonic supertensor models
journal, October 2018

The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three
journal, August 2019

An introduction to the SYK model
journal, July 2019

Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
journal, June 2018

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

Supersymmetric tensor model at large $N$ and small $ε$
journal, January 2020

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

Tensorial Gross-Neveu models
text, January 2018

Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
text, January 2017

Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
text, January 2017

Three Dimensional View of the SYK/AdS Duality
text, January 2017

Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
text, January 2017

Eigenstate thermalization in the Sachdev-Ye-Kitaev model
text, January 2017

Notes on Melonic $O(N)^{q-1}$ Tensor Models
text, January 2017

Supersymmetric SYK Model with Global Symmetry
text, January 2017

Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
text, January 2018

Towards a bulk description of higher spin SYK
text, January 2018

2PI effective action for the SYK model and tensor field theories
text, January 2018

On Melonic Supertensor Models
text, January 2018

Hints of unitarity at large $N$ in the $O(N)^3$ tensor field theory
text, January 2019