PIRSA:14040143 Scientific Series Quantum Fields and Strings

DOI10.48660/14040143

Series: Quantum Fields and Strings

Mekareeya, N. (2014). 3d N = 4 Gauge Theories, Mirror Symmetry and Hilbert series. Perimeter Institute. https://pirsa.org/14040143

Mekareeya, Noppadol. 3d N = 4 Gauge Theories, Mirror Symmetry and Hilbert series. Perimeter Institute, Apr. 28, 2014, https://pirsa.org/14040143 

@misc{ pirsa_PIRSA:14040143,
  doi = {10.48660/14040143},
  url = {https://pirsa.org/14040143},
  author = {Mekareeya, Noppadol},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {3d N = 4 Gauge Theories, Mirror Symmetry and Hilbert series},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {apr},
  note = {PIRSA:14040143 see, \url{https://pirsa.org}}
}

Abstract

This talk focuses on vacuum moduli spaces of N=4 supersymmetric field theories in three dimensions. A particular branch of the moduli space, known as the Coulomb branch, receives quantum corrections. We present an exact result, known as the Hilbert series, that enumerates the operators in the chiral ring of such a quantum Coulomb branch. This exact result can be applied to a large class of 3d supersymmetric field theories, with and without known Lagrangian descriptions. As an application, we present a method to compute partition functions of instantons on C^2 for any simple group, including exceptional and non-simply-laced ones.

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