论文标题
dirac/rarita-schwinger以及$ \ mathbb {r} \ times s^3 $ spacetime in Hopf坐标中的麦克斯韦理论
Dirac/Rarita-Schwinger plus Maxwell theories in $\mathbb{R} \times S^3$ spacetime in the Hopf coordinates
论文作者
论文摘要
我们考虑了$ \ mathbb {r} \ times s^3 $ spaceTime中的Dirac-Maxwell和Rarita-Schwinger-Maxwell方程的集合。使用HOPF坐标，我们表明这些方程允许分离变量并获得相应的分析和数值解。还证明，狄拉克场的电流与$ s^3 \ rightarrow s^2 $纤维的HOPF不变有关。
We consider the sets of Dirac-Maxwell and Rarita-Schwinger-Maxwell equations in $\mathbb{R} \times S^3$ spacetime. Using the Hopf coordinates, we show that these equations allow separation of variables and obtain the corresponding analytic and numerical solutions. It is also demonstrated that the current of the Dirac field is related to the Hopf invariant on the $S^3 \rightarrow S^2$ fibration.
