论文标题
四维切尔 - 西蒙斯理论中的全态表面缺陷
Holomorphic Surface Defects in Four-Dimensional Chern-Simons Theory
论文作者
论文摘要
我们得出了在拓扑表面和复杂平面的乘积上提出的四维全体形态 - 塑形的奇特·西蒙斯理论的框架异常。我们表明，这种异常的存在使人们可以将四维的Chern-Simons理论与Kac-Moody Symmetry一起将其与Holomorthic Field Theories相结合，其中Kac-Moody级别$ K $是关键的$ K = -h^{\ vee} $。将此结果应用于全体形态的Sigma模型中，我们得出四维的Chern-Simons理论，该理论允许全体形态单肌缺陷。
We derive the framing anomaly of four-dimensional holomorphic-topological Chern-Simons theory formulated on the product of a topological surface and the complex plane. We show that the presence of this anomaly allows one to couple four-dimensional Chern-Simons theory to holomorphic field theories with Kac-Moody symmetry, where the Kac-Moody level $k$ is critical $k=-h^{\vee}$. Applying this result to a holomorphic sigma model into a complex coadjoint orbit, we derive that four-dimensional Chern-Simons theory admits holomorphic monodromy defects.
