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.

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

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Cited by in corpus (21)

• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Supersymmetry enhancement by monopole operators
• Boundary Conditions for Interacting Membranes
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• ABJM theory in Batalin-Vilkovisky formulation
• On Large N Solution of Gaiotto-Tomasiello Theory
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Super-Yang-Mills Theory in SIM(1) Superspace
• Quantum Thermodynamics of an M2-M5 Brane System
• Membrane Quantum Mechanics
• Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
• Interaction between M2-branes and Bulk Form Fields
• Dual Instantons in Anti-membranes Theory
• Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Monopoles in Superloop Space
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• Monopole operators and symmetry enhancement in ABJM theory revisited