论文标题
猫的摇篮:变形较高等级$ e_1 $和$ \ tilde {e} _1 $理论
The Cat's Cradle: Deforming the higher rank $E_1$ and $\tilde{E}_1$ theories
论文作者
论文摘要
我们使用5-Brane网来研究5D $ E_1 $和$ \ tilde {e} _1 $ Theories的较高等级概括的超对称质量变形的二维空间。一些所得的IR相用无红IR的超对称量规理论描述,而另一些则与相互作用的固定点相对应。不同阶段的数量似乎随级别的增长而增长。对于均匀和奇数的列表,变形的空间在质量上有所不同,但是偶数(奇数)$ e_1 $理论的空间与奇数(偶数)$ \ tilde {e} _1 _1 $理论相似。 One result of our analysis predicts that the supersymmetric $SU(N)$ theory with CS level $k=\frac{N}{2} + 4$ and a single massless antisymmetric hypermultiplet exhibits an enhanced global symmetry at the UV fixed point, given by $SU(2)\times SU(2)$ if $N$ is even, and $SU(2)\times U(1)$ if $N$ is 奇怪的。
We use 5-brane webs to study the two-dimensional space of supersymmetric mass deformations of higher rank generalizations of the 5d $E_1$ and $\tilde{E}_1$ theories. Some of the resulting IR phases are described by IR free supersymmetric gauge theories, while others correspond to interacting fixed points. The number of different phases appears to grow with the rank. The space of deformations is qualitatively different for the even and odd rank cases, but that of the even (odd) rank $E_1$ theory is similar to that of the odd (even) rank $\tilde{E}_1$ theory. One result of our analysis predicts that the supersymmetric $SU(N)$ theory with CS level $k=\frac{N}{2} + 4$ and a single massless antisymmetric hypermultiplet exhibits an enhanced global symmetry at the UV fixed point, given by $SU(2)\times SU(2)$ if $N$ is even, and $SU(2)\times U(1)$ if $N$ is odd.