论文标题
通过计量电流和磁流的新形成场理论
New conformal field theories by gauging electric and magnetic currents
论文作者
论文摘要
旧民间传说说，在四个维度上没有$ u（1）$ aguge对称性的非平凡的重归其化组固定点，但是可以通过存在磁性单极的存在来规避它。我们建议通过$ u（1）$级对称性来构建（可能无限多种）新型的现场理论，通过测量$ u（1）\ times u（1）\ times u（1）$全局对称性在电气和磁性上。如果构造是一致的，则最有可能的理论很可能具有$ u（1）$计量耦合常数的非平凡的重新归一化组固定点，并且它将是一种非平凡的保形场理论，而没有$ u（1）\ times u（1）\ times u（times u（1）\ times u（times u（1）$ u（times u（1）$ u（1）$全球对称性，则在其他有关其他相关变形的调谐基础上进行了基础。如果构造是CP侵入的，则伴随$θ$参数的重新归一化。
Old folklore says that there is no non-trivial renormalization group fixed point with $U(1)$ gauge symmetry in four dimensions, but it can be circumvented by the existence of magnetic monopoles. We propose to construct (potentially infinitely many) novel types of field theories with $U(1)$ gauge symmetry by gauging $U(1) \times U(1)$ global symmetry electrically and magnetically. If the construction is consistent, the resulting theory will most likely possess a non-trivial renormalization group fixed point for the $U(1)$ gauge coupling constant and it will be a non-trivial conformal field theory without the $U(1)\times U(1)$ global symmetry in the infrared upon tunings of other relevant deformations. If the construction is CP-violating, a renormalization of the $θ$-parameter is accompanied.
