Abstract
We study the properties of 4d \( \mathcal{N}=3 \) superconformal field theories whose rank is one, i.e. those that reduce to a single vector multiplet on their moduli space of vacua. We find that the moduli space can only be of the form ℂ3/ℤ ℓ for ℓ=1, 2, 3, 4, 6, and that the supersymmetry automatically enhances to \( \mathcal{N}=4 \) for ℓ=1, 2. In addition, we determine the central charges a and c in terms of ℓ, and construct the associated 2d chiral algebras, which turn out to be exotic \( \mathcal{N}=2 \) supersymmetric W-algebras.
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ArXiv ePrint: 1602.01503
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Nishinaka, T., Tachikawa, Y. On 4d rank-one \( \mathcal{N}=3 \) superconformal field theories. J. High Energ. Phys. 2016, 116 (2016). https://doi.org/10.1007/JHEP09(2016)116
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DOI: https://doi.org/10.1007/JHEP09(2016)116