发表机构
Abdus Salam Centre for Theoretical Physics, Imperial College London（阿卜杜斯·萨拉姆理论物理中心，伦敦帝国理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究 ABJM 对偶中渐近 AdS$_4 \times S^7/\mathbf{Z}_k$ 几何的 M5 膜瞬子，发现其超对称嵌入由 $\kappa$-对称性决定，且单圈配分函数为零，表明体配分函数需用超引力模式和 M2 膜瞬子展开。
AI 中文摘要
我们研究了 M 理论中渐近 AdS$_4 \times S^7/\mathbf{Z}_k$ 几何中超对称 M5 膜瞬子的存在性，该几何与 ABJM 理论对偶。这些瞬子的超对称嵌入由 M5 膜的 $\kappa$-对称性决定，这迫使它们局域化到渐近 AdS$_4$ 几何中的等变不动点，并环绕 $(S^3\times S^3)/\mathbf{Z}_k$。在量子层面，我们发现这些瞬子的单圈配分函数为零，这表明体配分函数反而应该用超引力模式和 M2 膜瞬子来展开，这与对偶 ABJM 理论 $S^3$ 配分函数的已知结果一致。
英文摘要
We study the existence of supersymmetric M5-brane instantons in asymptotically AdS$_4 \times S^7/\mathbf{Z}_k$ geometries of M-theory, dual to the ABJM theory. The supersymmetric embeddings of these instantons are determined by the M5-brane $κ$-symmetry, which forces them to localise to the equivariant fixed points in the asymptotically AdS$_4$ geometry, and wrap $(S^3\times S^3)/\mathbf{Z}_k $. At the quantum level we find that the one-loop partition function of these instantons vanishes, suggesting that the bulk partition function is instead to be expanded in terms of supergravity modes and M2-brane instantons, in line with known results for the $S^3$ partition function of the dual ABJM theory.
Comments27 pages, no figure
