Two-point functions in ABJM matrix model

  • Naotaka Kubo
  • Sanefumi MoriyamaEmail author
Open Access
Regular Article - Theoretical Physics


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.


Chern-Simons Theories M-Theory Matrix Models Topological Strings 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto UniversitySakyo-kuJapan
  2. 2.Department of Physics, Graduate School of ScienceOsaka City UniversitySumiyoshi-kuJapan
  3. 3.Osaka City University Advanced Mathematical Institute (OCAMI)Osaka City UniversitySumiyoshi-kuJapan

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