English

3d supersymmetric gauge theories and Hilbert series

High Energy Physics - Theory 2017-10-02 v2

Abstract

The Hilbert series is a generating function that enumerates gauge invariant chiral operators of a supersymmetric field theory with four supercharges and an R-symmetry. In this article I review how counting dressed 't Hooft monopole operators leads to a formula for the Hilbert series of a 3d N2\mathcal{N}\geq 2 gauge theory, which captures precious information about the chiral ring and the moduli space of supersymmetric vacua of the theory.

Keywords

Cite

@article{arxiv.1701.00641,
  title  = {3d supersymmetric gauge theories and Hilbert series},
  author = {Stefano Cremonesi},
  journal= {arXiv preprint arXiv:1701.00641},
  year   = {2017}
}

Comments

Conference paper for String-Math 2016, College de France, Paris. 27 pages, 9 figures. v2: typos corrected, version accepted for publication