M-theoretic matrix models

Understand

Some matrix models admit, on top of the usual 't Hooft expansion, an M-theory-like expansion, i.e.

• an expansion at large N but where the rest of the parameters are fixed, instead of scaling with N.
• These models, which we call M-theoretic matrix models, appear in the localization of Chern-Simons-matter theories, and also in two-dimensional statistical physics.
• Generically, their partition function receives non-perturbative corrections which are not captured by the 't Hooft expansion.