Theory Group Seminars

# The local renormalization group equation in superspace

## by Roberto Auzzi

Europe/Rome
248 (Building C, first floor)

### 248

#### Building C, first floor

Description
I'll 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. I'll discuss the derivation of the consistency conditions associated with super-Weyl symmetry off-criticality and the study of their implications. As examples, I'll derive an expression for the a-function, and I'll present an analog of the a-maximization equation, which is valid off-criticality. I'll discuss the application of this machinery to the study of conformal manifolds and I'll give a simple proof that the metric on such manifolds is Kahler.