论文标题

在$ {\ Mathcal n} = 4 $ supersymmetry在三个维度上的增强

On ${\mathcal N}=4$ supersymmetry enhancements in three dimensions

论文作者

Assel, Benjamin, Tachikawa, Yuji, Tomasiello, Alessandro

论文摘要

我们介绍了一类3D理论,由强键$ {\ Mathcal n} = 4 $ systems耦合到$ {\ Mathcal n} = 3 $ Chern-simons gouge Multiplets,它们在chernculiar条件上表现出$ {\ MATHCAL N} = 4 $增强条件,这是ChernSimons simons simons semsimons semsimons smimons sem simons sem simons smimons sem simons semsimons semsimons semsimons semsimons semsimons。一个示例是$ su(n)^3 $ Chern-Simons理论与3D $ T_N $理论相连,该理论增强到$ {\ Mathcal n} = 4 $时,当$ 1/k_1+1/k_1+1/k_2+1/k_3 = 0 $。我们还表明,可以通过在特殊类Seifert歧管上考虑M5-branes来理解一些但并非所有这些$ {\ Mathcal n} = 4 $增强功能。我们的构造提供了大型$ {\ Mathcal n} = 4 $的理论,这些理论先前尚未研究。

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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