Abstract
We write the Lagrangian of the general \( \mathcal{N} = 5 \) three-dimensional superconformal Chern-Simons theory, based on a basic Lie superalgebra, in terms of our recently introduced \( \mathcal{N} = 5 \) three-algebras. These include \( \mathcal{N} = 6 \) and \( \mathcal{N} = 8 \) three-algebras as special cases. When we impose an antisymmetry condition on the triple product, the supersymmetry automatically enhances, and the \( \mathcal{N} = 5 \) Lagrangian reduces to that of the well known \( \mathcal{N} = 6 \) theory, including the ABJM and ABJ models.
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ArXiv ePrint: 1103.4860
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Palmkvist, J. Unifying \( \mathcal{N} = 5 \) and \( \mathcal{N} = 6 \) . J. High Energ. Phys. 2011, 88 (2011). https://doi.org/10.1007/JHEP05(2011)088
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DOI: https://doi.org/10.1007/JHEP05(2011)088