Two-point functions in ABJM matrix model

被引：0
作者：
Naotaka Kubo
Sanefumi Moriyama
机构：
[1] Kyoto University,Center for Gravitational Physics, Yukawa Institute for Theoretical Physics
[2] Osaka City University,Department of Physics, Graduate School of Science
[3] Osaka City University,Osaka City University Advanced Mathematical Institute (OCAMI)
来源：
Journal of High Energy Physics | / 2018卷
关键词：
Chern-Simons Theories; M-Theory; Matrix Models; Topological Strings;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce non-trivial two-point functions of the super Schur polynomials in the ABJM matrix model and study their exact values with the Fermi gas formalism. We find that, although defined non-trivially, these two-point functions enjoy two simple relations with the one-point functions. One of them is associated with the Littlewood-Richardson rule, while the other is more novel. With plenty of data, we also revisit the one-point functions and study how the diagonal BPS indices are split asymmetrically by the degree difference. [graphic not available: see fulltext]
引用
收藏
相关论文
共 155 条
  • [31] Mariño M(2016)Quantization conditions and functional equations in ABJ(M) theories J. Phys. A 49 003-undefined
  • [32] Putrov P(2016)Exact results for ABJ Wilson loops and open-closed duality JHEP 10 178-undefined
  • [33] Fuji H(2017)Giambelli Identity in Super Chern-Simons Matrix Model J. Math. Phys. 58 125-undefined
  • [34] Hirano S(2017)Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings JHEP 08 010-undefined
  • [35] Moriyama S(2013)Aharony-Bergman-Jafferis-Maldacena Wilson loops in the Fermi gas approach Z. Naturforsch. A 68 030-undefined
  • [36] Hanada M(2016)Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory JHEP 09 351-undefined
  • [37] Honda M(2004)Matrix model as a mirror of Chern-Simons theory JHEP 02 25-undefined
  • [38] Honma Y(2015)Linking loops in ABJM and refined theory JHEP 07 283-undefined
  • [39] Nishimura J(1989)Quantum Field Theory and the Jones Polynomial Commun. Math. Phys. 121 034-undefined
  • [40] Shiba S(2004)Chern-Simons theory, matrix integrals and perturbative three manifold invariants Commun. Math. Phys. 253 008-undefined
12345678910