Notes on Supersymmetry Enhancement of ABJM Theory

Abstract

We study the supersymmetry enhancement of ABJM theory. Starting from a $\mathcal{N}=2$ 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 $\mathcal{N}=2$ supersymmetry related to the gauge group. We show this additional supersymmetry can combine with $\mathcal{N}=6$ supersymmetry of the original ABJM theory to an enhanced $\mathcal{N}=8$ 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.

arXiv comment23 pages, no figure, minor corrections, version to appear in JHEP

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• (1,0) superconformal models in six dimensions
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• Multiple Membranes in M-theory
• Boundary Conditions for Interacting Membranes
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• Super-Yang-Mills Theory in SIM(1) Superspace
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• Aspects of ABJ Theory
• M-Theory and Maximally Supersymmetric Gauge Theories
• Chern-Simons Theory in SIM(1) Superspace
• Non-anticommutative ABJ Theory
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• Topological M-Strings and Supergroup WZW Models
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• Higher Derivative Terms in Three Dimensional Supersymmetric Theories
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