Supersymmetric gradient flow in N=1 SYM
Supersymmetric gradient flow in N=1 SYM
复制标题
N=1 SYM 中的超对称梯度流
DOI：
10.1140/epjc/s10052-022-10404-y
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Ukita Naoya
中科院分区：
文献类型：
--
作者：
Kadoh Daisuke;Ukita Naoya
在四维超对称杨-米尔斯理论中，用Wess-Zumino规范的分量场导出了梯度流动方程。通过用相应的流场代替四维场，我们证明了流动时间导数和超对称变换被天真地扩展到4+1维，从而可以交换到一个规范变换。从这个意义上说，得到的流动在Wess-Zumino规范中是超对称的。我们还进一步讨论了流动方程的对称性。
The gradient flow equation is derived in four-dimensionalsupersymmetric Yang–Mills theory in terms of the component field of the Wess–Zumino gauge. We show that the flow-time derivative and supersymmetry transformation that is naively extended to 4+1 dimensions by replacing the four-dimensional fields with the corresponding flowed fields commute with each other up to a gauge transformation. In this sense, the obtained flow is supersymmetric in the Wess–Zumino gauge. We also discuss more about the symmetry of the flow equation.