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arXiv · 2607.07255

Airy functions from quantum M-theory

Pietro Benetti Genolini·Florian Gaar·Jerome P. Gauntlett·Jaeha Park·James Sparks
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Abstract

We show that Airy function partition functions for M2-brane theories may be derived from relative equivariant localization of quantum M-theory. The eleven-dimensional Chern--Simons coupling gives the cubic term in the grand potential, while the $X_8$ correction gives the charge shift. Fixing the M2-brane charge turns the localized M-theory path integral into an Airy integral. In this way we derive the ABJM result, its toric Calabi--Yau generalizations, and gravitational blocks for black holes and other spacetimes, up to the prefactor and non-perturbative corrections.

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Pietro Benetti Genolini, Florian Gaar, Jerome P. Gauntlett, Jaeha Park, James Sparks. 2026-07-21. Airy functions from quantum M-theory. https://arxiv.org/abs/2607.07255

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