GQFI-WST Seminar: Janet Hung "p-adic tensor network and emergent Einstein equation"
In this talk, Janet Hung (Fudan University) takes the tensor network describing explicit p-adic CFT partition functions proposed in 1902.01411, and considers boundary conditions of the network describing a deformed Bruhat-Tits (BT) tree geometry. Janet demonstrates 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.
The Virtual Seminar Series “GQFI-Warsaw String Theory” (GQFI-WST) is a joint initiative between the strings/holography groups at the Albert Einstein Institute (AEI) in Potsdam and the University Warsaw. The calendar for upcoming GQFI-WST seminars can be found here: https://gqfi.aei.mpg.de/node/3.
This talk is primarily based on arXiv:2102.12022 [hep-th] (https://arxiv.org/abs/2102.12022).
This talk was recorded on June 16th, 2021 at the Albert Einstein Institute in Potsdam-Golm.