We introduce a class of 3d theories consisting of strongly-coupled N = 4 systems coupled to N = 3 Chern-Simons gauge multiplets, which exhibit 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 N = 4 when 1/k1 + 1/k2 + 1/k3 = 0. We also show that some but not all of these N = 4 enhancements can be understood by considering M5-branes on a special class of Seifert manifolds. Our construction provides a large class of N = 4 theories which have not been studied previously.
Assel, B., Tachikawa, Y., Tomasiello, A. (2023). On N = 4 supersymmetry enhancements in three dimensions. JOURNAL OF HIGH ENERGY PHYSICS, 2023(3) [10.1007/JHEP03(2023)170].
On N = 4 supersymmetry enhancements in three dimensions
Alessandro Tomasiello
2023
Abstract
We introduce a class of 3d theories consisting of strongly-coupled N = 4 systems coupled to N = 3 Chern-Simons gauge multiplets, which exhibit 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 N = 4 when 1/k1 + 1/k2 + 1/k3 = 0. We also show that some but not all of these N = 4 enhancements can be understood by considering M5-branes on a special class of Seifert manifolds. Our construction provides a large class of N = 4 theories which have not been studied previously.
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