Superspace formulation of the local RG equation

Understand

We present the superspace formulation of the local RG equation, a framework for the study of supersymmetric RG flows in which the constraints of holomorphy and R-symmetry are manifest.

• We derive the consistency conditions associated with super-Weyl symmetry off-criticality and initiate the study of their implications.
• As examples, we derive an expression for the a-function, and present an analog of the a-maximization equation, which is valid off-criticality.
• We also apply this machinery to the study of conformal manifolds and give a simple proof that the metric on such manifolds is Kahler.