Off-diagonal coupling of supersymmetric SYK model

A bstract 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 are holographically interpreted as a possible supersymmetric traversable wormhole. First, we introduce the coupling in the Homologic N=1 SYK model as a simplified example. Similar couplings can also be applied to the N=2 chiral SYK model with BPS states. We propose a special form of N=4 SYK by introducing supermultiplets, which also naturally include the coupling terms with additional symmetries. The N=4 holographic properties are investigated through the analysis of N=2 SYK theory. Furthermore, the effective actions are studied in both the thermal limit and the low-energy limit. We also investigate the SYK-like thermal field double states of the supersymmetric SYK model and the transmission amplitude between single-sided N=2 models in Lorentz time. Additionally, we study the multi-sided N=2,4 OTOCs.