AI 中文总结
研究从量子M理论的相对等变局域化导出M2膜理论的艾里函数配分函数，通过十一维陈 - 西蒙斯耦合和\(X_8\)修正，固定M2膜电荷转化路径积分，推导出相关结果及引力块。
AI 中文摘要
我们表明，M2膜理论的艾里函数配分函数可从量子M理论的相对等变局域化导出。十一维陈 - 西蒙斯耦合给出了巨势中的立方项，而\(X_8\)修正给出了电荷偏移。固定M2膜电荷可将局域化的M理论路径积分转变为艾里积分。借此我们推导出ABJM结果、其复曲面卡拉比 - 丘推广以及黑洞和其他时空的引力块，直至前置因子和非微扰修正。
英文摘要
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.
Comments7 pages; very minor changes
