# The local renormalization group equation in superspace

#### The local renormalization group equation in superspace

- Event time: 2:00pm
- Event date: 4th May 2016
- Speaker: Roberto Auzzi (University of Brescia and INFN, Perugia)
- Location: Higgs Centre Seminar Room, Room 4305, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

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.

### About Particle Physics Theory seminars

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..