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

共 50 条

[21] Some exact results on tachyon condensation in string field theory
Kutasov, D
Mariño, M
Moore, G
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2000, (10): : 11 - 23
[22] Exact results on equations of motion in vacuum string field theory
Hata, H
Moriyama, S
[J]. PHYSICS LETTERS B, 2005, 631 (03) : 141 - 149
[23] On refined Chern–Simons and refined ABJ matrix models
Luca Cassia
Maxim Zabzine
[J]. Letters in Mathematical Physics, 2022, 112
[24] Non-perturbative effects and the refined topological string
Hatsuda, Yasuyuki
Marino, Marcos
Moriyama, Sanefumi
Okuyama, Kazumi
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (09): : 1 - 42
[25] Non-perturbative effects and the refined topological string
Yasuyuki Hatsuda
Marcos Mariño
Sanefumi Moriyama
Kazumi Okuyama
[J]. Journal of High Energy Physics, 2014
[26] Exact black hole degeneracies and the topological string
Shih, D
Yin, X
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2006, (04):
[27] Exact results for ABJ Wilson loops and open-closed duality
Hatsuda, Yasuyuki
Okuyama, Kazumi
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2016, (10):
[28] On refined Chern-Simons and refined ABJ matrix models
Cassia, Luca
Zabzine, Maxim
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2022, 112 (02)
[29] Exact results for ABJ Wilson loops and open-closed duality
Yasuyuki Hatsuda
Kazumi Okuyama
[J]. Journal of High Energy Physics, 2016
[30] Topological structures in string theory
Segal, G
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 359 (1784): : 1389 - 1398

← 1 2 3 4 5 →