# Areas and entropies in BFSS/gravity duality

### Submission summary

 As Contributors: Tarek Anous Arxiv Link: https://arxiv.org/abs/1911.11145v1 Date submitted: 2020-01-28 Submitted by: Anous, Tarek Submitted to: SciPost Physics Discipline: Physics Subject area: High-Energy Physics - Theory Approach: Theoretical

### Abstract

The BFSS matrix model provides an example of gauge-theory / gravity duality where the gauge theory is a model of ordinary quantum mechanics with no spatial subsystems. If there exists a general connection between areas and entropies in this model similar to the Ryu-Takayanagi formula, the entropies must be more general than the usual subsystem entanglement entropies. In this note, we first investigate the extremal surfaces in the geometries dual to the BFSS model at zero and finite temperature. We describe a method to associate regulated areas to these surfaces and calculate the areas explicitly for a family of surfaces preserving $SO(8)$ symmetry, both at zero and finite temperature. We then discuss possible entropic quantities in the matrix model that could be dual to these regulated areas.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1911.11145v1 on 28 January 2020