标题： 超对称SYK模型的非对角耦合 显示英文标题

标题： Off-diagonal coupling of supersymmetric SYK model

摘要： 在本工作中，我们考虑两个超对称SYK模型之间的非对角耦合，该耦合同时保持超对称性和可解性。 我们发现，$N=2$超对称SYK的相互作用项在全息解释中可能作为超对称可穿越虫洞。 首先，我们在平凡同伦的$N=1$SYK模型中引入耦合，作为一个简化例子。 类似的耦合可以在具有BPS态的$N=2$手征SYK模型中推导出来。 我们通过引入超多重态提出了一种特殊的$N=4$SYK形式，该形式也自然包含耦合项。 $N=4$SYK的全息图在低能极限下没有永恒解。 并且在热极限和低能极限下研究了有效作用量。 我们还研究了超对称SYK的类似SYK的热场双态以及洛伦兹时间下单侧$N=2$模型之间的传输幅度。 此外，还研究了多侧$N=2,4$OTOCs。 显示英文摘要

摘要： 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.