Exact results on ABJ theory and the refined topological string

被引：54
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.
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页码：1 / 54
页数：54
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