M理论中非微扰效应的探讨
Probing non-perturbative effects in M-theory
摘要：
AdS/CFT对应使我们能够从相应的对偶规范理论中探索各种背景下的M理论。本文详细研究了一个耦合到一个伴随超多重态和Nf个基本超多重态的三维U（N）N=4超Yang-Mills理论，它是AdS_4xS^7/Z_Nf上M-理论的大N对偶.使用本地化和费米气体的提法，我们探讨非微扰修正的配分函数。在ABJM理论中，我们发现，存在一个非平凡的极点抵消机制，这保证了理论是明确定义的，世界片瞬子和膜瞬子之间的所有合理的（特别是，物理或积分）值的Nf。
英文摘要：
The AdS/CFT correspondence enables us to probe M-theory on various backgrounds from the corresponding dual gauge theories. Here we investigate in detail a three-dimensional U(N) N=4 super Yang-Mills theory coupled to one adjoint hypermultiplet and Nf fundamental hypermultiplets, which is large N dual to M-theory on AdS_4xS^7/Z_Nf. Using the localization and the Fermi-gas formulation, we explore non-perturbative corrections to the partition function. As in the ABJM theory, we find that there exists a non-trivial pole cancellation mechanism, which guarantees the theory to be well-defined, between worldsheet instantons and membrane instantons for all rational (in particular, physical or integral) values of Nf.
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