Emergent Einstein Equation in CFT Tensor Networks

地点:中关村教学楼第三层 S302
主讲人:田佳
联系人:田佳
联系方式:15141873324
开始时间:2021-04-20 09:30
结束时间:2021-04-20 12:00
内容:

Speaker:Janet Hung

Abstract:

We take the tensor network describing explicit p-adic CFT partition functions proposed in [1]( arXiv:1902.01411 [hep-th]), 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 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.