Tarek Anous, Joanna L. Karczmarek, Eric Mintun, Mark Van Raamsdonk, Benson Way
SciPost Phys. 8, 057 (2020) ·
published 15 April 2020
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· pdf
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.
