Matt Buican (CERN)
Often, when talking about fixed points of the renormalization group that have certain nice properties like unitarity and Poincare invariance, we simply assume that the theory is invariant not just under scale transformations but is actually invariant under the full conformal group. In two dimensions, Zamolodchikov and Polchinski proved a theorem showing that nice two-dimensional scale-invariant theories are necessarily conformal. In this talk, we will focus on four-dimensional fixed points that have an R-symmetry. I will argue that unitarity and R-symmetry are enough to show that a large class of R-symmetric fixed points (including those found in the infrared limit of SQCD) are necessarily superconformal.
Arnold Sommerfeld Center