Associated varieties and Higgs branches (a survey)
Representation Theory
2021-03-30 v2 High Energy Physics - Theory
Abstract
Associated varieties of vertex algebras are analogue of the associated varieties of primitive ideals of the universal enveloping algebras of semisimple Lie algebras. They not only capture some of the important properties of vertex algebras but also have interesting relationship with the Higgs branches of four-dimensional superconformal field theories (SCFTs). As a consequence, one can deduce the modular invariance of Schur indices of 4d SCFTs from the theory of vertex algebras.
Cite
@article{arxiv.1712.01945,
title = {Associated varieties and Higgs branches (a survey)},
author = {Tomoyuki Arakawa},
journal= {arXiv preprint arXiv:1712.01945},
year = {2021}
}
Comments
To appear in conference proceedings for AMS Special Session on Vertex Algebras and Geometry. v2: added references