Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory

Understand

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.