Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories

2015/01/31 by Yuji Tachikawa · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Fixed point #Gauge anomaly #Gauge theory #Instanton #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Seiberg duality #Simple (philosophy) #Supersymmetric gauge theory #Symmetry (geometry) #Theoretical physics #Ultraviolet #Zero (linguistics) #hep-th

paper · pdf · doi:10.1093/ptep/ptv040

v3: 20 pages; an error in Sec. 4.2 corrected, overall conclusion unchanged. published version

arxiv created 2015/02/23 · openalex publication_date 2015/04/01 · arxiv updated 2015/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Supersymmetric gauge theories in five dimensions often exhibit less symmetry than the ultraviolet fixed points from which they flow. The fixed points might have larger flavor symmetry or they might even be secretly 6D theories on |S¹|⁠. Here we provide a simple criterion when such symmetry enhancement in the ultraviolet should occur, by a direct study of the fermionic zero modes around one-instanton operators.

Citations

• A comment on the enhancement of global symmetries in superconformal SU(2) gauge theories in 5D
• Notes on Enhancement of Flavor Symmetry and 5d Superconformal Index
• The Calculus of Many Instantons
• D-branes, Quivers, and ALE Instantons
• Supersymmetrizing 5d instanton operators

Cited by

• M‐Branes: Lessons from M2's and Hopes for M5's
• Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities