On Emergent Geometry from Entanglement Entropy in Matrix theory

Abstract

Using Matrix theory, we propose a technique on how to compute the entangle- ment entropy between a supergravity probe and modes on a spherical membrane. We demonstrate that a membrane stretched between the probe and the sphere entangles these modes and can lead to an the entanglement entropy that encodes information about local gravitational geometry seen by the probe.

36 pages, no figures; conclusion and interpretation revised. Readers are directed instead to a significantly expanded version of this computation that can be found in arXiv:1705.01128; this paper is being removed to avoid unnecessary duplication

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