Airy functions from quantum M-theory
High Energy Physics - Theory
2026-07-08 v1
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 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.
Cite
@article{arxiv.2607.07255,
title = {Airy functions from quantum M-theory},
author = {Pietro Benetti Genolini and Florian Gaar and Jerome P. Gauntlett and Jaeha Park and James Sparks},
journal= {arXiv preprint arXiv:2607.07255},
year = {2026}
}
Comments
6 pages