https://doi.org/10.1140/epjc/s10052-022-10404-y
Regular Article - Theoretical Physics
Supersymmetric gradient flow in 
SYM
1
Department of Physics, Faculty of Science, Chulalongkorn University, 10330, Bangkok, Thailand
2
Research and Educational Center for Natural Sciences, Keio University, 223-8521, Yokohama, Japan
3
Center for Computational Sciences, University of Tsukuba, 305-8577, Tsukuba, Ibaraki, Japan
Received:
23
March
2022
Accepted:
3
May
2022
Published online:
12
May
2022
The gradient flow equation is derived in four-dimensional supersymmetric 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.
© The Author(s) 2022
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