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arXiv · 2607.05490

A Novel Matrix Model for the M5-brane?

Manuel Artime·Ralph Blumenhagen·Thomas Raml
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Abstract

We provide a new formal extension of the BFSS matrix model by an additional 5-bracket. Maximal supersymmetry leads us to promote the BFSS 2-bracket structure constants to a dynamical field $H_{abc}$ governed by a Chern-Simons-like kinetic term. We first show that the full generic pseudo-action is invariant under maximal supersymmetry and that the associated supersymmetry algebra closes upon invoking a number of BPS-like quadratic constraints. We then present a special case based on the 5-Lie algebra $A_6$ that evades these additional constraints and allows for a Lagrangian description. These results hinge on a conspiracy of properties of the $SO(9)$ gamma matrices and the 2- and 5-brackets. Compellingly, the resulting model seems to realize some features expected of a theory containing M5-branes and opens up the possibility of further including higher brackets for the M6- and M9-branes.

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Manuel Artime, Ralph Blumenhagen, Thomas Raml. 2026-07-06. A Novel Matrix Model for the M5-brane?. https://arxiv.org/abs/2607.05490

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