四维弱耦合共形流形
Weakly coupled conformal manifolds in 4d
摘要：
我们对具有通过弱耦合的共形流形的四维简单规范群的${\cal N}=1$规范理论进行了分类。一个非常丰富的各种各样的模型被发现，一旦允许任意表示下的规范组。对于每一个这样的模型，我们详细的共形流形，共形异常的尺寸，并保持在一个通用的轨迹的流形的全球对称性。我们还确定，至少有一些，子轨迹的保形流形保持更多的对称性比一般的轨迹。分类的应用程序的几个例子进行了讨论。特别地，我们考虑共形triality，使triality框架之一是$USp(6)$规范理论与六个领域的两个指标无痕反对称表示。本文讨论了具有两个手征超场和一个手征超场的共形$Spin(5)$规范理论的IR对偶.最后，通过共形地测量对应于最大穿孔的对称性，并加上两个伴随手征超场，对${\cal N}=2$类${\cal S}$理论的共形流形进行了扩展。
英文摘要：
We classify ${\cal N}=1$ gauge theories with simple gauge groups in four dimensions which possess a conformal manifold passing through weak coupling. A very rich variety of models is found once one allows for arbitrary representations under the gauge group. For each such model we detail the dimension of the conformal manifold, the conformal anomalies, and the global symmetry preserved on a generic locus of the manifold. We also identify, at least some, sub-loci of the conformal manifolds preserving more symmetry than the generic locus. Several examples of applications of the classification are discussed. In particular we consider a conformal triality such that one of the triality frames is a $USp(6)$ gauge theory with six fields in the two index traceless antisymmetric representation. We discuss an IR dual of a conformal $Spin(5)$ gauge theory with two chiral superfields in the vector representation and one in the fourteen dimensional representation. Finally, an extension of the conformal manifold of ${\cal N}=2$ class ${\cal S}$ theories by conformally gauging symmetries corresponding to maximal punctures with the addition of two adjoint chiral superfields is commented upon.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
