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Areas and entropies in BFSS/gravity duality

by Tarek Anous, Joanna L. Karczmarek, Eric Mintun, Mark Van Raamsdonk, Benson Way

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Tarek Anous · Joanna Karczmarek
Submission information
Preprint Link:  (pdf)
Date accepted: 2020-04-09
Date submitted: 2020-04-07 02:00
Submitted by: Anous, Tarek
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • Quantum Physics
Approach: Theoretical


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.

Author comments upon resubmission

Dear Editor,

We have made revisions to the paper that address the points of the

List of changes

For point 1), we have added a few additional comments to the first two
subsections of section 6 emphasizing that understanding entropies in the
BFSS model is challenging, both because there are no spatial subsystems
(in contrast to higher-dimensional examples of AdS/CFT) and because the
model is gauged. We also made it more clear that the obvious tensor
factors present in the ungauged model are not necessarily the right
subsystems to associate with the bulk extremal surfaces.

For point 2), we have moved the pedagogical examples of entropy
calculations for simple systems to appendix A.

Published as SciPost Phys. 8, 057 (2020)

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