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Orientifold ABJM matrix model: chiral projections and worldsheet instantons

  • Sanefumi Moriyama
  • Tomoki NosakaEmail author
Open Access
Regular Article - Theoretical Physics

Abstract

We study the partition function of the orientifold ABJM theory, which is a superconformal Chern-Simons theory associated with the orthosymplectic supergroup. We find that the partition function associated with any orthosymplectic supergroup can be realized as the partition function of a Fermi gas system whose density matrix is identical to that associated with the corresponding unitary supergroup with a projection to the even or odd chirality. Furthermore we propose an identity which gives directly all of the Gopakumar-Vafa invariants for the worldsheet instanton effects in the chirally projected theories.

Keywords

Chern-Simons Theories M-Theory Matrix Models Topological Strings 

Notes

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) 2016

Authors and Affiliations

  1. 1.Department of Physics, Graduate School of ScienceOsaka City UniversitySumiyoshiJapan
  2. 2.Yukawa Institute for Theoretical PhysicsKyoto UniversitySakyoJapan

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