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Coulomb branch and the moduli space of instantons

Journal of High Energy Physics volume 2014, Article number: 103 (2014) Cite this article

A preprint version of the article is available at arXiv.

Abstract

The moduli space of instantons on ℂ2 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.

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Authors and Affiliations

  1. Theoretical Physics Group, Imperial College London, Prince Consort Road, London, SW7 2AZ, U.K.

    Stefano Cremonesi, Giulia Ferlito & Amihay Hanany

  2. Theory Division, Physics Department, CERN, CH-1211, Geneva 23, Switzerland

    Noppadol Mekareeya

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  1. Stefano Cremonesi
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  2. Giulia Ferlito
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  3. Amihay Hanany
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  4. Noppadol Mekareeya
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Correspondence to Noppadol Mekareeya.

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ArXiv ePrint: 1408.6835

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Cremonesi, S., Ferlito, G., Hanany, A. et al. Coulomb branch and the moduli space of instantons. J. High Energ. Phys. 2014, 103 (2014). https://doi.org/10.1007/JHEP12(2014)103

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Keywords

  • Supersymmetric gauge theory
  • Solitons Monopoles and Instantons
  • Brane Dynamics in Gauge Theories
  • Supersymmetry and Duality