PIRSA:15020077

Coulomb Branch and the Moduli Space of Instantons

Hanany, A. (2015). Coulomb Branch and the Moduli Space of Instantons. Perimeter Institute. https://pirsa.org/15020077

Hanany, Amihay. Coulomb Branch and the Moduli Space of Instantons. Perimeter Institute, Feb. 17, 2015, https://pirsa.org/15020077 

          @misc{ pirsa_PIRSA:15020077,
            doi = {10.48660/15020077},
            url = {https://pirsa.org/15020077},
            author = {Hanany, Amihay},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Coulomb Branch and the Moduli Space of Instantons},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {feb},
            note = {PIRSA:15020077 see, \url{https://pirsa.org}}
          }

Amihay Hanany

Imperial College London

Talk number
PIRSA:15020077
Collection
Talk Type
Subject
Abstract

The moduli space of k G instantons on C^2, where G is a classical gauge group, has a well known HyperKahler quotient formulation known as the ADHM construction. The extension to exceptional groups is an open problem.
In string theory this is realized using a system of branes, and the moduli space of instantons is identified with the Higgs branch of a particular supersymmetric gauge theory with 8 supercharges.
A less known, and less studied aspect of moduli spaces of instantons is that they can be realized as the Coulomb branch of a supersymmetric gauge theory in 2+1 dimensions.
Recent developments on the understanding of the Coulomb branch gives us a nice solution to the problem where G is an exceptional group, thus allowing a systematic study of these moduli spaces which was unavailable so far.
I will discuss these developments, and present the corresponding quivers, and the Coulomb branch Hilbert Series - the main tool which lead to the recent progress.