PIRSA:10100044

Chiral Operators on Hypermultiplet Moduli Spaces

Mekareeya, N. (2010). Chiral Operators on Hypermultiplet Moduli Spaces. Perimeter Institute. https://pirsa.org/10100044

Mekareeya, Noppadol. Chiral Operators on Hypermultiplet Moduli Spaces. Perimeter Institute, Oct. 05, 2010, https://pirsa.org/10100044 

          @misc{ pirsa_PIRSA:10100044,
            doi = {10.48660/10100044},
            url = {https://pirsa.org/10100044},
            author = {Mekareeya, Noppadol},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Chiral Operators on Hypermultiplet Moduli Spaces},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {oct},
            note = {PIRSA:10100044 see, \url{https://pirsa.org}}
          }

Noppadol Mekareeya

Imperial College London

Talk number
PIRSA:10100044
Collection
Talk Type
Subject
Abstract
This talk will focus on hypermultiplet moduli spaces of various N=2 supersymmetric gauge theories in (3+1)d. In the first part of the talk, we discuss the moduli space of instantons on C^2. For the classical groups, the ADHM construction of the moduli space can be realised on the Higgs branch of N=2 gauge theories on D3-branes probing D7-branes. No known construction is available for exceptional groups. We go over the computation of Hilbert series for the one instanton moduli space and show that it is possible to count all chiral operators on the moduli space even though a Lagrangian is not known for exceptional gauge groups. In the second part, we discuss a class of N=2 gauge theories on two M5-branes wrapping Riemann surfaces. This talk will go over Hilbert series for the hypermultiplet moduli space of such theories and show that it is possible to count all chiral operators on the hypermultiplet moduli space for any genus and any number of punctures of the Riemann surface.