Coulomb Branch and The Moduli Space of Instantons

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

Abstract

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.

Citation

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. https://doi.org/10.1007/jhep12%282014%29103

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2014
• Issue: 12
• Article Number: 103
• DOI: https://doi.org/10.1007/jhep12%282014%29103
• Public URL: https://durham-repository.worktribe.com/output/1365211
• Related Public URLs: https://arxiv.org/abs/1408.6835