Abstract
We introduce a class of 3d theories consisting of strongly-coupled \( \mathcal{N} \) = 4 systems coupled to \( \mathcal{N} \) = 3 Chern-Simons gauge multiplets, which exhibit \( \mathcal{N} \) = 4 enhancements when a peculiar condition on the Chern-Simons levels is met. An example is the SU(N)3 Chern-Simons theory coupled to the 3d TN theory, which enhances to \( \mathcal{N} \) = 4 when 1/k1 + 1/k2 + 1/k3 = 0. We also show that some but not all of these \( \mathcal{N} \) = 4 enhancements can be understood by considering M5-branes on a special class of Seifert manifolds. Our construction provides a large class of \( \mathcal{N} \) = 4 theories which have not been studied previously.
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Assel, B., Tachikawa, Y. & Tomasiello, A. On \( \mathcal{N} \) = 4 supersymmetry enhancements in three dimensions. J. High Energ. Phys. 2023, 170 (2023). https://doi.org/10.1007/JHEP03(2023)170
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DOI: https://doi.org/10.1007/JHEP03(2023)170