Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory
Kengo Kikuchi, Tetsuya Onogi
TL;DR
This paper develops a generalized gradient flow equation for field theories with nonlinearly realized symmetry and applies it to super Yang-Mills theory, preserving supersymmetry and gauge invariance.
Contribution
It introduces a supersymmetric extension of the gradient flow equation that maintains super gauge symmetry and is compatible with the Wess-Zumino gauge.
Findings
Super gauge symmetry preserved in the gradient flow.
Gradient flow equation closed within the Wess-Zumino gauge.
Effective damping of gauge degrees of freedom.
Abstract
We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that the super gauge symmetry is preserved in the gradient flow. Furthermore, choosing an appropriate modification term to damp the gauge degrees of freedom, we obtain a gradient flow equation which is closed within the Wess-Zumino gauge.
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