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arXiv 1306.1734hep-th
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非微扰效应与加细拓扑弦

Non-perturbative effects and the refined topological string

Yasuyuki Hatsuda, Marcos Marino, Sanefumi Moriyama, Kazumi Okuyama

摘要:

由于M-理论对偶中的膜瞬子,三球上ABJM理论的配分函数具有非微扰修正。我们表明,完整的一系列膜瞬子修正是完全由被称为本地P1 xP 1的卡-丘流形上的精细拓扑弦,在Nekrasov-Shatashvili极限。我们的结果可以解释为第一性原理推导的完整系列的非微扰效应的封闭拓扑弦在这个卡-丘背景。在此基础上,我们提出了一般局部卡-丘流形上拓扑弦的非微扰自由能的一个建议。

英文摘要:

The partition function of ABJM theory on the three-sphere has non-perturbative corrections due to membrane instantons in the M-theory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi-Yau manifold known as local P1xP1, in the Nekrasov-Shatashvili limit. Our result can be interpreted as a first-principles derivation of the full series of non-perturbative effects for the closed topological string on this Calabi-Yau background. Based on this, we make a proposal for the non-perturbative free energy of topological strings on general, local Calabi-Yau manifolds.

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