On the 4D SCFTs/VOAs correspondence
Leonardo Rastelli (Stony Brook U.)

I will describe some recent progress on the correspondence between four-dimensional ${\cal N=2}$ superconformal field theories (SCFTs) and two-dimensional vertex operator algebras (VOAs). In particular I will introduce the notion of the “Higgs scheme”, an extension by nilpotent elements of the standard Higgs variety of an ${\cal N=2}$ SCFT, which plays a natural role in the associated VOA.
Unlike the Higgs variety, theHiggs scheme appears to be a perfect invariant, i.e. it conjecturally fully characterizes the SCFT.