Notes on Supersymmetry Enhancement of ABJM Theory

Details Notes on Supersymmetry Enhancement of ABJM Theory Notes on Supersymmetry Enhancement of ABJM Theory

2009-06-23

arxiv.org/abs/0906.4333v4

JHEP 0908:093,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2009/08/093

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

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