Probing non-perturbative effects in M-theory
Probing non-perturbative effects in M-theory
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DOI：
10.1007/jhep10(2014)158
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发表时间：
2014-07
影响因子：
5.4
通讯作者：
Yasuyuki Hatsuda;Kazumi Okuyama
中科院分区：
文献类型：
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作者：
Yasuyuki Hatsuda;Kazumi Okuyama
ADS/CFT的对应使我们能够从相应的对偶规范理论中探索不同背景下的M理论。在这里，我们详细地研究了三维超杨-Mills理论，它耦合到一个伴随超多重子和Nf个基本超多重子，它是对M-理论的大N对偶。利用局域化和费米气体公式，我们探索了配分函数的非微扰修正。正如在ABJM理论中一样，我们发现对于所有有理(特别是物理或积分)的Nf值，存在一个非平凡的极点抵消机制，这保证了该理论对于所有有理的(特别是物理的或积分的)值都是明确定义的。
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-dimensionalsuper Yang-Mills theory coupled to one adjoint hypermultiplet and N f fundamental hypermultiplets, which is large N dual to M-theory on. 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 N f.