English

Notes on Supersymmetry Enhancement of ABJM Theory

High Energy Physics - Theory 2009-09-28 v4

Abstract

We study the supersymmetry enhancement of ABJM theory. Starting from a N=2{\cal N}=2 supersymmetric Chern-Simons matter theory with gauge group U(2)×\timesU(2) which is a truncated version of the ABJM theory, we find by using the monopole operator that there is additional N=2{\cal N}=2 supersymmetry related to the gauge group. We show this additional supersymmetry can combine with N=6{\cal N}=6 supersymmetry of the original ABJM theory to an enhanced N=8{\cal N}=8 SUSY with gauge group U(2)×\timesU(2) in the case k=1,2k=1,2. We also discuss the supersymmetry enhancement of the ABJM theory with U(NN)×\timesU(NN) gauge group and find a condition which should be satisfied by the monopole operator.

Keywords

Cite

@article{arxiv.0906.4333,
  title  = {Notes on Supersymmetry Enhancement of ABJM Theory},
  author = {O-Kab Kwon and Phillial Oh and Jongsu Sohn},
  journal= {arXiv preprint arXiv:0906.4333},
  year   = {2009}
}

Comments

23 pages, no figure, minor corrections, version to appear in JHEP