Towards the Holographic Dual of N = 2 SYK

Abstract

The gravitational part of the holographic dual to the SYK model has been conjectured to be Jackiw-Teitelboim (JT) gravity. In this paper we construct an AdS2 background in N = (2,2) JT gravity and show that the gravitational dynamics are - as in the N = 0 and N = 1 cases - fully captured by the extrinsic curvature as an effective boundary action. This boundary term is given by the super-Schwarzian of the N = 2 SYK model, thereby providing further evidence of the JT/SYK duality. The chirality of this SYK model is reproduced by the inherent chirality of axial N = (2,2) supergravity.

22 pages,v2 references added, typos corrected

References in corpus (18)

• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• A Generalization of Sachdev-Ye-Kitaev
• More on Supersymmetric and 2d Analogs of the SYK Model
• The complete $1/N$ expansion of a SYK--like tensor model
• All point correlation functions in SYK
• Three Dimensional View of the SYK/AdS Duality
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Dispersive SYK model: band structure and quantum chaos
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Comments on N=(2,2) Supersymmetry on Two-Manifolds
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• A note on the SYK model with complex fermions
• SYK Model, Chaos and Conserved Charge
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Towards the Holographic Dual of N = 2 SYK
• Towards a Finite-$N$ Hologram
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion

Cited by in corpus (27)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• On the Dynamics of Near-Extremal Black Holes
• The Schwarzian Theory - Origins
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Thouless time for mass-deformed SYK
• Phases Of Melonic Quantum Mechanics
• Warped Information and Entanglement Islands in AdS/WCFT
• Towards the Holographic Dual of N = 2 SYK
• Boundary theories for dilaton supergravity in 2D
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• On Melonic Supertensor Models
• Exact Embeddings of JT Gravity in Strings and M-theory
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Soft modes in $\mathcal{N}=2$ SYK model
• Minkowski Conformal Blocks and the Regge Limit for SYK-like Models
• Models of phase stability in Jackiw-Teitelboim gravity
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Branes in JT (super)gravity from group theory
• SYK/AdS duality with Yang-Baxter deformations
• Supersymmetric Black Holes and the SJT/nSCFT${}_1$ Correspondence
• Gravitational wavefunctions in JT supergravity
• Les Houches lectures on two-dimensional gravity and holography
• $\mathcal{N}=4$ supersymmetric Schwarzian with $D(1,2;\alpha )$ symmetry
• Lyapunov exponents in $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim gravity
• Off-diagonal coupling of supersymmetric SYK model
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities