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On Emergent Geometry from Entanglement Entropy in Matrix theory

Research paper by Vatche Sahakian

Indexed on: 28 Jan '16Published on: 28 Jan '16Published in: High Energy Physics - Theory



Abstract

Using Matrix theory, we compute the entanglement 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 leads to an expression for the entanglement entropy that encodes information about local gravitational geometry seen by the probe. We propose in particular that this entanglement entropy measures the rate of convergence of geodesics at the location of the probe.