调和映射的Wess-Zumino项
The Wess-Zumino term for a harmonic map
摘要：
利用平坦$G$ -联络模空间上Chern-Simons线丛的能量和完整性，计算了闭曲面到紧致单连通单李群$G$的调和映射$g$的Wess-Zumino项$Γ(g)$.在2-球面的情况下，我们推导出$Γ(g)$是0或$π$，对于2-环面和$G=SU(2)$，我们给出了一个包含超椭圆积分的公式.
英文摘要：
We calculate the Wess-Zumino term $Γ(g)$ for a harmonic map $g$ of a closed surface to a compact, simply connected, simple Lie group $G$ in terms of the energy and the holonomy of the Chern-Simons line bundle on the moduli space of flat $G$-connections. In the case of the 2-sphere we deduce that $Γ(g)$ is 0 or $π$ and for the 2-torus and $G=SU(2)$ we give a formula involving hyperelliptic integrals.
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。
