To gauge or not to gauge?

TL;DR

This paper explores a variant of the BFSS matrix model with global $SU(N)$ symmetry, analyzing how new non-singlet states affect its gravity dual, concluding they are suppressed at strong coupling and do not alter the dual description.

Contribution

The study introduces a non-gauge $SU(N)$ symmetry variant of the BFSS model and shows its gravity dual remains unchanged due to suppression of non-singlet states at strong coupling.

Findings

Non-singlet states have higher energy at strong coupling.

Gravity dual remains essentially the same as the original model.

Non-singlet states are dynamically suppressed at strong coupling.

Abstract

The D0 brane, or BFSS, matrix model is a quantum mechanical theory with an interesting gravity dual. We consider a variant of this model where we treat the $SU(N)$ symmetry as a global symmetry, rather than as a gauge symmetry. This variant contains new non-singlet states. We consider the impact of these new states on its gravity dual. We argue that the gravity dual is essentially the same as the one for the original matrix model. The non-singlet states have higher energy at strong coupling and are therefore dynamically suppressed.