Supersymmetric gradient flow in [Formula omitted] SYM

The gradient flow equation is derived in four-dimensional [Formula omitted] 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 fo...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2022-05, Vol.82 (5)
Main Authors: Kadoh, Daisuke, Ukita, Naoya
Format: Article
Language:English
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Summary:The gradient flow equation is derived in four-dimensional [Formula omitted] 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.
ISSN:1434-6044
DOI:10.1140/epjc/s10052-022-10404-y