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Instanton operators and the Higgs branch at infinite coupling

  • Stefano Cremonesi
  • Giulia FerlitoEmail author
  • Amihay Hanany
  • Noppadol Mekareeya
Open Access
Regular Article - Theoretical Physics

Abstract

The richness of 5d \( \mathcal{N}=1 \) theories with a UV fixed point at infinite coupling is due to the existence of local disorder operators known as instanton operators. By considering the Higgs branch of SU(2) gauge theories with N f ≤ 7 flavours at finite and infinite coupling, we write down the explicit chiral ring relations between instanton operators, the glueball superfield and mesons. Exciting phenomena appear at infinite coupling: the glueball superfield is no longer nilpotent and the classical chiral ring relations are quantum corrected by instanton operators bilinears. We also find expressions for the dressing of instanton operators of arbitrary charge. The same analysis is performed for USp(2k) with an antisymmetric hypermultiplet and pure SU(N) gauge theories.

Keywords

Nonperturbative Effects Solitons Monopoles and Instantons Supersymmetric Gauge Theory 

Notes

Open Access

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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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Stefano Cremonesi
    • 1
  • Giulia Ferlito
    • 3
    Email author
  • Amihay Hanany
    • 2
  • Noppadol Mekareeya
    • 3
  1. 1.Department of MathematicsKing’s College LondonLondonU.K.
  2. 2.Theoretical Physics Group, Imperial College LondonLondonU.K.
  3. 3.Theory Division, Physics Department, CERNGeneva 23Switzerland

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