报告题目 (Title)：padic tensor network and emergent Einstein equation（p-adic张量网络和诱导爱因斯坦方程）

报告人 (Speaker)：孔令欣 研究员（复旦大学）

报告时间 (Time)：2021年4月8日(周四) 14:00

报告地点 (Place)：校本部D108

邀请人(Inviter)：葛先辉 教授

摘要 (Abstract)：

We take the tensor network describing explicit p-adic CFT partition functions proposed in [1], and considered boundary conditions of the network describing a deformed Bruhat-Tits (BT) tree geometry. We demonstrate that this geometry satisfies an emergent graph Einstein equation in a unique way that is consistent with the bulk effective matter action encoding the same correlation function as the tensor network, at least in the perturbative limit order by order away from the pure BT tree. Moreover, the (perturbative) definition of the graph curvature in the Mathematics literature [2–4] naturally emerges from the consistency requirements of the emergent Einstein equation. This could provide new insights into the understanding of gravitational dynamics potentially encoded in more general tensor networks.

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