PIRSA:17010078 Scientific Series Quantum Fields and Strings

DOI10.48660/17010078

Series: Quantum Fields and Strings

Assel, B. (2017). The Higgs and Coulomb branches of 3d N=4 theories from branes. Perimeter Institute. https://pirsa.org/17010078

Assel, Benjamin. The Higgs and Coulomb branches of 3d N=4 theories from branes. Perimeter Institute, Jan. 24, 2017, https://pirsa.org/17010078 

@misc{ pirsa_PIRSA:17010078,
  doi = {10.48660/17010078},
  url = {https://pirsa.org/17010078},
  author = {Assel, Benjamin},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {The Higgs and Coulomb branches of 3d N=4 theories from branes},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {jan},
  note = {PIRSA:17010078 see, \url{https://pirsa.org}}
}

Abstract

The moduli space of vacua of 3d N=4 gauge theories splits essentially into two ``branches”: the Higgs branch parametrised by the vevs of hypermultiplet scalars and the Coulomb branch parametrised by the vevs of dressed monopole operators. They can be described as complex algebraic varieties. I will present a new approach to the analysis of the Higgs and Coulomb branches based on the type IIB brane realisation of the gauge theory. Focusing on abelian theories, I will show how the addition of new ingredients in the brane setup can be linked to the path integral insertions of Higgs or Coulomb operators. I will explain how this construction can be used to derive the ring relations and study mirror symmetry.

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