Kavli Affiliate: Yuji Tachikawa
| First 5 Authors: Benjamin Assel, Yuji Tachikawa, Alessandro Tomasiello, ,
| Summary:
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 $T_N$ theory, which enhances to ${mathcal N}=4$ when
$1/k_1+1/k_2+1/k_3=0$. 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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