Non-perturbative effects and the refined topological string

被引：141

作者：

Hatsuda, Yasuyuki ^{[1
,2
]}

Marino, Marcos ^{[3
,4
]}

Moriyama, Sanefumi ^{[5
,6
]}

Okuyama, Kazumi ^{[7
]}

机构：

[1] DESY, Theory Grp, D-22603 Hamburg, Germany

[2] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan

[3] Univ Geneva, Dept Phys Theor, CH-1211 Geneva, Switzerland

[4] Univ Geneva, Sect Math, CH-1211 Geneva, Switzerland

[5] Nagoya Univ, Kobayashi Maskawa Inst, Nagoya, Aichi 4648602, Japan

[6] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

[7] Shinshu Univ, Dept Phys, Matsumoto, Nagano 3908621, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 09期

基金：

瑞士国家科学基金会;

关键词：

AdS-CFT Correspondence; Topological Strings; M-Theory;

D O I：

10.1007/JHEP09(2014)168

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The partition function of ABJM theory on the three-sphere has nonperturbative 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 P-1 x P-1, 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.

引用

页码：1 / 42

页数：42

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