Supersymmetric gradient flow in N=1 SYM
High Energy Physics - Theory
2022-11-24 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
The gradient flow equation is derived in four-dimensional N=1 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.
Cite
@article{arxiv.1812.02351,
title = {Supersymmetric gradient flow in N=1 SYM},
author = {Daisuke Kadoh and Naoya Ukita},
journal= {arXiv preprint arXiv:1812.02351},
year = {2022}
}
Comments
10 pages