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Coulomb Branch and The Moduli Space of Instantons

Cremonesi, Stefano; Ferlito, Giulia; Hanany, Amihay; Mekareeya, Noppadol

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Giulia Ferlito

Amihay Hanany

Noppadol Mekareeya


The moduli space of instantons on ℂ2 for any simple gauge group is studied using the Coulomb branch of N=4N=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.


Cremonesi, S., Ferlito, G., Hanany, A., & Mekareeya, N. (2014). Coulomb Branch and The Moduli Space of Instantons. Journal of High Energy Physics, 2014(12), Article 103.

Journal Article Type Article
Acceptance Date Dec 1, 2014
Online Publication Date Dec 16, 2014
Publication Date Dec 16, 2014
Deposit Date Feb 2, 2017
Publicly Available Date Mar 29, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 12
Article Number 103
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Published Journal Article (589 Kb)

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Copyright Statement
Open Access, © The Author(s) 2014. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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