HET Seminar | Pieter Bomans | "One-dimensional sectors from the squashed three-sphere" | PCTS 407 & Zoom

Fri, Dec 3, 2021, 1:45 pm
PCTS 407 & Zoom

 I will show that every three-dimensional N=4 superconformal field theory on the squashed sphere contains a set of protected operators whose correlation functions are governed by a one-dimensional theory. This one-dimensional theory arises from supersymmetric localization with respect to a special supercharge which is not contained in any N=2 subalgebra of the supersymmetry algebra. For theories built out of vector and hypermultiplets I will explicitly construct the one-dimensional theory and discuss its most important properties.