Regular Article - Theoretical Physics
Supersymmetric gradient flow in SYM
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
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.
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