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 N=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.

29 pages, 19 figures. v2: 3 references and more details of the computation in section 3.1 are added

References in corpus (14)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• A Generalization of Sachdev-Ye-Kitaev
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Random tensor models in the large N limit: Uncoloring the colored tensor models
• The 1/N expansion of colored tensor models
• The complete $1/N$ expansion of a SYK--like tensor model
• Higher Dimensional Generalizations of the SYK Model
• Invitation to Random Tensors
• Charge frustration and quantum criticality for strongly correlated fermions
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Stringy effects in scrambling

Cited by in corpus (82)

• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• The Bulk Dual of SYK: Cubic Couplings
• Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
• An introduction to the SYK model
• Supersymmetric SYK model and random matrix theory
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders
• Three Dimensional View of the SYK/AdS Duality
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
• Dispersive SYK model: band structure and quantum chaos
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Menagerie of AdS${}_2$ boundary conditions
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Flat space holography and complex SYK
• Nearly AdS2 Sugra and the Super-Schwarzian
• Random Matrices and Holographic Tensor Models
• Space-Time in the SYK Model
• Universality and Thouless energy in the supersymmetric Sachdev-Ye-Kitaev Model
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Three Dimensional View of Arbitrary $q$ SYK models
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• Quenched equals annealed at leading order in the colored SYK model
• 2PI effective action for the SYK model and tensor field theories
• Towards a bulk description of higher spin SYK
• Thouless time for mass-deformed SYK
• SYK-like Tensor Models on the Lattice
• The $1/N$ expansion of the symmetric traceless and the antisymmetric tensor models in rank three
• Vector models and generalized SYK models
• Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Diffusion in higher dimensional SYK model with complex fermions
• Phases Of Melonic Quantum Mechanics
• Contrasting SYK-like Models
• Tensorial Gross-Neveu models
• The $1/N$ expansion of tensor models with two symmetric tensors
• Towards the Holographic Dual of N = 2 SYK
• Comments on the Random Thirring Model
• Towards a Finite-$N$ Hologram
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Line of fixed points in a bosonic tensor model
• Supersymmetric Tensor Model at Large $N$ and Small $\epsilon$
• Supersymmetric SYK Model with Global Symmetry
• On thermalization in the SYK and supersymmetric SYK models
• More on the New Large $D$ Limit of Matrix Models
• $\mathcal{N}=2$ SYK model in the superspace formalism
• Combinatorial aspects of the Sachdev-Ye-Kitaev model
• Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Rotating Black Holes in AdS, Extremality and Chaos
• Chaos and random matrices in supersymmetric SYK
• Conformality of $1/N$ corrections in SYK-like models
• On the replica structure of Sachdev-Ye-Kitaev model
• On Melonic Supertensor Models
• Abelian Tensor Models on the Lattice
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Generalized conformal structure, dilaton gravity and SYK
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Melonic Dominance in Subchromatic Sextic Tensor Models
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
• Colored discrete spaces: higher dimensional combinatorial maps and quantum gravity
• Conformal Symmetry and Composite Operators in the $O(N{)}^3$ Tensor Field Theory
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Hints of unitarity at large $N$ in the $O(N{)}^3$ tensor field theory
• Tensor Models for Black Hole Probes
• Chiral Algebras of Two-Dimensional SYK Models
• Models of phase stability in Jackiw-Teitelboim gravity
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Near Conformal Perturbation Theory in SYK Type Models
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Complete Solution of a Gauged Tensor Model
• SYK/AdS duality with Yang-Baxter deformations
• Sextic tensor model in rank $3$ at next-to-leading order
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• Super-maximal chaos and instability
• Sextic tensor field theories in rank $3$ and $5$
• A simple model for Hawking radiation
• A route from maximal chaoticity to integrability
• Melonic large $N$ limit of $5$-index irreducible random tensors