Off-diagonal coupling of supersymmetric SYK model

Abstract

In this work, we consider the off-diagonal coupling between two supersymmetric SYK models, which preserves both supersymmetry and solvability. We found that the interaction terms of the $N=2$ supersymmetric SYK have a holographic interpretation as a possible supersymmetric traversable wormhole. First we introduce the coupling in the trivial Homologic $N=1$ SYK model as a simplified example. Similar couplings can be implied in $N=2$ chiral SYK model with BPS states. We propose a special form of $N=4$ SYK by introducing supermultiplets, and which also naturally include the coupling terms. The holographic picture of $N=4$ SYK does not have an eternal solution in the low energy limit. And the effective actions are studied in both thermal limit and low energy limit. We also investigate the SYK-like thermal field double states of the supersymmetric SYK and the transmission amplitude between single-side $N=2$ models in Lorentz time. Additionally, the multi-side $N=2,4$ OTOCs are also studied.

61 Pages, 7 figures, Published version

References in corpus (40)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Eternal Black Holes in AdS
• Cool horizons for entangled black holes
• Traversable Wormholes via a Double Trace Deformation
• Bekenstein-Hawking Entropy and Strange Metals
• Fermionic Localization of the Schwarzian Theory
• Diving into traversable wormholes
• Solving the Schwarzian via the Conformal Bootstrap
• More on Supersymmetric and 2d Analogs of the SYK Model
• Towards a full solution of the large N double-scaled SYK model
• The bulk Hilbert space of double scaled SYK
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• Disordered Quivers and Cold Horizons
• Nearly AdS2 Sugra and the Super-Schwarzian
• A symmetry algebra in double-scaled SYK
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Revival dynamics in a traversable wormhole
• The double scaled limit of Super--Symmetric SYK models
• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• Diffusion in higher dimensional SYK model with complex fermions
• Non-Local Effects of Multi-Trace Deformations in the AdS/CFT Correspondence
• Entanglement Entropy of Two Coupled SYK Models and Eternal Traversable Wormhole
• Towards the Holographic Dual of N = 2 SYK
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• A new class of SYK-like models with maximal chaos
• $\mathcal{N}=2$ SYK model in the superspace formalism
• Complex Sachdev-Ye-Kitaev model in the double scaling limit
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• Holographic counterterms from local supersymmetry without boundary conditions
• Entanglement and Confinement in Coupled Quantum Systems
• Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models
• Chiral Algebras of Two-Dimensional SYK Models
• A supersymmetric SYK model with a curious low energy behavior
• Soft modes in $\mathcal{N}=2$ SYK model
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Supersymmetric Black Holes and the SJT/nSCFT${}_1$ Correspondence
• Excitation Transmission through a non-Hermitian traversable wormhole
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model