Exact results on ABJ theory and the refined topological string

被引：52

作者：

Honda, Masazumi ^{[1
]}

Okuyama, Kazumi ^{[2
]}

机构：

[1] Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India

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

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 08期

关键词：

Matrix Models; AdS-CFT Correspondence; Topological Strings; M-Theory; CHERN-SIMONS THEORY; MATRIX MODELS;

D O I：

10.1007/JHEP08(2014)148

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：

We study the partition function of the ABJ theory, which is the N = 6 superconformal Chern-Simons matter theory with gauge group U(N) x U(N + M) and Chern-Simons levels (k, -k). We exactly compute the ABJ partition function on a three sphere for various k, M and N via the Fermi gas approach. By using these exact data, we show that the ABJ partition function is completely determined by the refined topological string on local P-1 x P-1, including membrane instanton effects in the M-theory dual.

引用

页码：1 / 54

页数：54

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