4.4 Article

Instanton operators and the Higgs branch at infinite coupling

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP04(2017)042

Keywords

Nonperturbative Effects; Solitons Monopoles and Instantons; Supersymmetric Gauge Theory

Funding

  1. INFN
  2. STFC studentship
  3. Modern Developments in M-theory Workshop (South Korea)
  4. Kavli IPMU, World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
  5. University of Torino
  6. University of Milano-Bicocca
  7. ETH Zurich
  8. LPTHE at the University Pierre et Marie Curie (Jussieu)
  9. Harvard University
  10. University of Rome Tor Vergata
  11. EPSRC [EP/K034456/1] Funding Source: UKRI
  12. STFC [ST/L00044X/1] Funding Source: UKRI
  13. Engineering and Physical Sciences Research Council [EP/K034456/1] Funding Source: researchfish
  14. Science and Technology Facilities Council [ST/L00044X/1] Funding Source: researchfish

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The richness of 5d 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 glue ball 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.

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