On 1D, N = 4 Supersymmetric SYK-Type Models (I)

Abstract

Proposals are made to describe 1D, N = 4 supersymmetrical systems that extend SYK models by compactifying from 4D, N = 1 supersymmetric Lagrangians involving chiral, vector, and tensor supermultiplets. Quartic fermionic vertices are generated via integrals over the whole superspace, while 2(q-1)-point fermionic vertices are generated via superpotentials. The coupling constants in the superfield Lagrangians are arbitrary, and can be chosen to be Gaussian random. In that case, these 1D, N = 4 supersymmetric SYK models would exhibit Wishart-Laguerre randomness, which share the same feature among other 1D supersymmetric SYK models in literature. One difference with 1D, N = 1 and N = 2 models though, is our models contain dynamical bosons, but this is consistent with other 1D, N = 4 and 2D, N = 2 models in literature. Added conjectures on duality and possible mirror symmetry realizations on these models is noted.

arXiv commentLaTex twice, 51 pages, 0 figures

References in corpus (102)

• A bound on chaos
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Black holes and the butterfly effect
• N=2 Extremal Black Holes
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Classical Polylogarithms for Amplitudes and Wilson Loops
• The Amplituhedron
• Black Holes and Random Matrices
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Anti-de Sitter Fragmentation
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
• Holographic metals and the fractionalized Fermi liquid
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Fermionic Localization of the Schwarzian Theory
• Diving into traversable wormholes
• 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
• Solving the Schwarzian via the Conformal Bootstrap
• AdS2 Quantum Gravity and String Theory
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Holographic quantum matter
• Non-Fermi liquid regime of a doped Mott insulator
• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• Eternal traversable wormhole
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Numerical study of fermion and boson models with infinite-range random interactions
• Bi-Local Holography in the SYK Model
• Introduction to Random Matrices - Theory and Practice
• More on Supersymmetric and 2d Analogs of the SYK Model
• Notes on the complex Sachdev-Ye-Kitaev model
• On the Dynamics of Near-Extremal Black Holes
• The Bulk Dual of SYK: Cubic Couplings
• Mean-Field Theory of a Quantum Heisenberg Spin Glass
• The complete $1/N$ expansion of a SYK--like tensor model
• Digital Quantum Simulation of Minimal AdS/CFT
• All point correlation functions in SYK
• Supersymmetric SYK model and random matrix theory
• $d$-dimensional SYK, AdS Loops, and $6j$ Symbols
• Higher Dimensional Generalizations of the SYK Model
• The Schwarzian Theory - Origins
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• $O(N)$ Random Tensor Models
• Towards a 2d QFT Analog of the SYK Model
• A Supersymmetric SYK-like Tensor Model
• Three Dimensional View of the SYK/AdS Duality
• AdS${}_2$ Holographic Dictionary
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• Diffusion and Chaos from near AdS${}_2$ horizons
• Symmetries Near the Horizon
• Projective Superspace as a Double--Punctured Harmonic Superspace
• A Theory of Spinning Particles for Large N-extended Supersymmetry
• Disordered Quivers and Cold Horizons
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Nearly AdS2 Sugra and the Super-Schwarzian
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• Space-Time in the SYK Model
• Falling Toward Charged Black Holes
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Strange metals and the AdS/CFT correspondence
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• The CNM-Hypermultiplet Nexus
• A note on the SYK model with complex fermions
• A Theory of Spinning Particles for Large N_extended Supersymmetry (II)
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• 4D, N = 1 Supersymmetry Genomics (I)
• When Superspace Is Not Enough
• Towards the Holographic Dual of N = 2 SYK
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Supersymmetric SYK Model with Global Symmetry
• 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
• $\mathcal{N}=2$ SYK model in the superspace formalism
• A One-Loop Test of the near-AdS${}_2$/near-CFT${}_1$ Correspondence
• Manifest (4,0) Supersymmetry, Sigma Models and The ADHM Instaton Construction
• 6D Supersymmetric Nonlinear Sigma-Models in 4D, N=1 Superspace
• Chaos and random matrices in supersymmetric SYK
• The statistical mechanics of near-BPS black holes
• Three-loop calculations in non-Abelian gauge theories
• On Clifford-Algebraic "Holoraumy", Dimensional Extension, and SUSY Holography
• A Lorentz Covariant Holoraumy-Induced "Gadget" From Minimal Off-Shell 4D, N = 1 Supermultiplets
• Adinkras and SUSY Holography
• 4D, N = 1 Supersymmetry Genomics (II)
• Linear and Chiral Superfields are Usefully Inequivalent
• Adinkras, 0-branes, Holoraumy and the SUSY QFT/QM Correspondence
• Soft modes in $\mathcal{N}=2$ SYK model
• 4D, N=1 Supergravity Genomics
• A Canticle on (4,0) Supergravity-Scalar Multiplet Systems for a ``Cognoscente''
• Near Conformal Perturbation Theory in SYK Type Models
• On the Four Dimensional Holoraumy of the 4D, $\mathcal{N}$ = 1 Complex Linear Supermultiplet
• Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into $\ell$- and $\tilde{\ell }$-Equivalence Classes
• Supersymmetric Black Holes and the SJT/nSCFT${}_1$ Correspondence
• Adinkra Height Yielding Matrix Numbers: Eigenvalue Equivalence Classes for Minimal Four-Color Adinkras
• Examples of 4D, N = 2 Holoraumy

Cited by in corpus (7)

• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• The quantum $p$-spin glass model: A user manual for holographers
• A route from maximal chaoticity to integrability
• Off-diagonal coupling of supersymmetric SYK model
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants