Coulomb branch and the moduli space of instantonsReport as inadecuate

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Journal of High Energy Physics

, 2014:103

First Online: 16 December 2014Received: 02 October 2014Revised: 01 December 2014Accepted: 01 December 2014 Abstract

The moduli space of instantons on ℂ for any simple gauge group is studied using the Coulomb branch of \ \mathcal{N}=4 \ gauge theories in three dimensions. For a given simple group G, the Hilbert series of such an instanton moduli space is computed from the Coulomb branch of the quiver given by the over-extended Dynkin diagram of G. The computation includes the cases of non-simply-laced gauge groups G, complementing the ADHM constructions which are not available for exceptional gauge groups. Even though the Lagrangian description for non-simply laced Dynkin diagrams is not currently known, the prescription for computing the Coulomb branch Hilbert series of such diagrams is very simple. For instanton numbers one and two, the results are in agreement with previous works. New results and general features for the moduli spaces of three and higher instanton numbers are reported and discussed in detail.

KeywordsSupersymmetric gauge theory Solitons Monopoles and Instantons Brane Dynamics in Gauge Theories Supersymmetry and Duality ArXiv ePrint: 1408.6835

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Author: Stefano Cremonesi - Giulia Ferlito - Amihay Hanany - Noppadol Mekareeya



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