Supersymmetric gradient flow in $$\mathcal{N}=1$$ SYM

Author:

Kadoh Daisuke,Ukita Naoya

Abstract

AbstractThe gradient flow equation is derived in four-dimensional $$\mathcal{N}=1$$ 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.

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),Engineering (miscellaneous)

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Perturbative analysis of the Wess-Zumino flow;Physical Review D;2023-06-15

2. Gradient-flowed order parameter for spontaneous gauge symmetry breaking;The European Physical Journal C;2023-06-02

3. Perturbative calculation of supersymmetric gradient flow in = 1 supersymmetric QCD;Progress of Theoretical and Experimental Physics;2022-12-12

4. Supersymmetric gradient flow in 4d $${{\mathcal {N}}}=1$$ SQCD;The European Physical Journal Special Topics;2022-12-05

5. Lattice studies of supersymmetric gauge theories;The European Physical Journal Special Topics;2022-11-16

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