RHIND seminar on Mathematical Physics and String Theory

May 23, 2022 at 4 p.m. c.t. only via ZoomIlka Brunner (LMU München)

Nils Carqueville (Universität Wien)

Hans Jockers (JGU Mainz)

Peter Mayr (LMU München)

Simone Noja (Universität Heidelberg)

Ivo Sachs (LMU München)

Johannes Walcher (Universität Heidelberg)

Joint seminar series on Mathematical Physics and String Theory

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.