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]
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  • [1] Aharony O(2008)N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals JHEP 10 091-undefined
  • [2] Bergman O(2008)N = 5, 6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds JHEP 09 002-undefined
  • [3] Jafferis DL(2008)Fractional M2-branes JHEP 11 043-undefined
  • [4] Maldacena J(2012)Localization of gauge theory on a four-sphere and supersymmetric Wilson loops Commun. Math. Phys. 313 71-undefined
  • [5] Hosomichi K(2010)Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter JHEP 03 089-undefined
  • [6] Lee K-M(2010)Janus Configurations, Chern-Simons Couplings, And The theta-Angle in N = 4 Super Yang-Mills Theory JHEP 06 097-undefined
  • [7] Lee S(2010)A Supermatrix model for N = 6 super Chern-Simons-matter theory JHEP 02 058-undefined
  • [8] Lee S(2010)Exact Results in ABJM Theory from Topological Strings JHEP 06 011-undefined
  • [9] Park J(2011)From weak to strong coupling in ABJM theory Commun. Math. Phys. 306 511-undefined
  • [10] Aharony O(2011)Multi-Matrix Models and Tri-Sasaki Einstein Spaces Phys. Rev. D 83 141-undefined
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